├── README.md ├── Second_3 ├── plot_sin.pdf ├── plot_sin.png └── plot_sin.m ├── First_Program ├── first.jpg ├── Third_Program │ ├── third.jpg │ └── third.m ├── Second_Program │ ├── second.jpg │ ├── second_abs.jpg │ ├── second_final.jpg │ └── second.m └── first.m ├── Digital-Signal-Processing-lab_Problems.pdf ├── FFT_Python └── fft_implementation.py ├── Digital_Filters └── FIR │ └── fir_filter_design.m └── LICENSE /README.md: -------------------------------------------------------------------------------- 1 | # Digital-Signal-Processing-Programs 2 | Assignments of DSP using MATLAB. 3 | -------------------------------------------------------------------------------- /Second_3/plot_sin.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/Second_3/plot_sin.pdf -------------------------------------------------------------------------------- /Second_3/plot_sin.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/Second_3/plot_sin.png -------------------------------------------------------------------------------- /First_Program/first.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/First_Program/first.jpg -------------------------------------------------------------------------------- /First_Program/Third_Program/third.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/First_Program/Third_Program/third.jpg -------------------------------------------------------------------------------- /First_Program/Second_Program/second.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/First_Program/Second_Program/second.jpg -------------------------------------------------------------------------------- /Digital-Signal-Processing-lab_Problems.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/Digital-Signal-Processing-lab_Problems.pdf -------------------------------------------------------------------------------- /First_Program/Second_Program/second_abs.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/First_Program/Second_Program/second_abs.jpg -------------------------------------------------------------------------------- /First_Program/Second_Program/second_final.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/krshrimali/Digital-Signal-Processing-Programs/master/First_Program/Second_Program/second_final.jpg -------------------------------------------------------------------------------- /First_Program/first.m: -------------------------------------------------------------------------------- 1 | clc; 2 | clear all; 3 | close all; 4 | % function is : y = 2 * n for n belonging to -3 to 3, otherwise 0. 5 | range = -10:10; 6 | x = 2 * range .* [range >= -3] .* [range <= 3]; 7 | 8 | stem(range,x) 9 | title('Discrete time Step Function') 10 | xlabel('Samples') 11 | ylabel('Function') -------------------------------------------------------------------------------- /FFT_Python/fft_implementation.py: -------------------------------------------------------------------------------- 1 | import numpy as np 2 | import matplotlib.pyplot as plt 3 | 4 | def discreteFT(fdata, N, fwd): 5 | X = [0]*(2*N) 6 | omega = 0.0 7 | k, ki, kr, n = 0, 0, 0, 0 8 | if(fwd): 9 | omega = 2.0 * np.pi/N 10 | else: 11 | omega = -1 * 2.0 * np.pi/n 12 | for k in range(0, N): 13 | 14 | -------------------------------------------------------------------------------- /Digital_Filters/FIR/fir_filter_design.m: -------------------------------------------------------------------------------- 1 | f1 = input("f1: "); 2 | f2 = input("f2: "); 3 | fs = input("sampling frequency: "); 4 | del_2 = input("Stopband attenuation: "); 5 | 6 | deltaF = abs(f1 - f2); 7 | M = del_2 * fs/(22 * deltaF); 8 | 9 | f = [f1]/(fs/2); 10 | hc = fir1(round(M)-1, f, 'low'); \ 11 | 12 | figure 13 | plot((-0.5:1/4096:0.5-1/4096)*fs,20*log10(abs(fftshift(fft(hc,4096))))) 14 | axis([0 20000 -60 20]) 15 | title('Filter Frequency Response') 16 | grid on 17 | -------------------------------------------------------------------------------- /Second_3/plot_sin.m: -------------------------------------------------------------------------------- 1 | N = input("Number of graphs: "); 2 | 3 | x = linspace(-5, 5, 10); 4 | for i = 1:N 5 | AMP = input("Input amplitude"); 6 | FREQ = input("Input frequency"); 7 | PHASE = input("Input phase"); 8 | 9 | disp("AMP is: "); disp(AMP); 10 | disp("FREQ is: "); disp(FREQ); 11 | disp("PHASE is: "); disp(PHASE); 12 | 13 | 14 | subplot(1, N, i); 15 | plot(x,AMP*sin(2*(pi/FREQ)*x + PHASE)) 16 | xlabel('Time Axis'); ylabel('Amplitude'); 17 | title('Plot with multiple inputs for Sine graph'); 18 | end 19 | -------------------------------------------------------------------------------- /First_Program/Third_Program/third.m: -------------------------------------------------------------------------------- 1 | % even and odd parts of x(n) = 0.8^n 2 | k = 1; 3 | for n=-32:32 4 | positive_x(k) = (0.8) .^ n; 5 | k = k + 1; 6 | end 7 | 8 | k = 1; 9 | for n = -32:32 10 | negative_x(k) = (0.8) .^ (-n); 11 | k = k + 1; 12 | end 13 | 14 | even_y = ( positive_x + negative_x ) / 2; 15 | odd_y = ( positive_x - negative_x ) / 2; 16 | 17 | range = [-32:32] 18 | subplot(3, 1, 1); 19 | stem(range, positive_x, 'r'); 20 | title('Original Function'); 21 | xlabel('Sample'); 22 | ylabel('Values'); 23 | 24 | subplot(3, 1, 2); 25 | stem(range, even_y, 'b'); 26 | title('Even Function'); 27 | xlabel('Sample'); 28 | ylabel('Values'); 29 | 30 | subplot(3, 1, 3); 31 | stem(range, odd_y, 'g'); 32 | title('Odd Function'); 33 | xlabel('Sample'); 34 | ylabel('Values'); -------------------------------------------------------------------------------- /First_Program/Second_Program/second.m: -------------------------------------------------------------------------------- 1 | % exp(j * pi/8 * n) for 0 to 32 2 | theta = pi/8; 3 | k = 1; 4 | for l=-32:32 5 | phase_angle(k) = theta * l; 6 | if(l <= 32 && l >= 0) 7 | y(k) = exp(l * theta * 1i); 8 | else 9 | y(k) = 0; 10 | end 11 | k = k + 1; 12 | end 13 | 14 | real_y = real(y); 15 | im_y = imag(y); 16 | abs_y = abs(real_y); 17 | 18 | n = -32:32; 19 | 20 | % Real Part 21 | subplot(2, 3, 1); 22 | stem(n, real_y, 'g'); 23 | title('Real Part'); 24 | xlabel('Samples'); 25 | ylabel('Values'); 26 | 27 | % Imaginary Part 28 | subplot(2, 3, 2); 29 | stem(n, im_y, 'b'); 30 | title('Imaginary Part'); 31 | xlabel('Samples'); 32 | ylabel('Values'); 33 | 34 | % Absolute Part 35 | subplot(2, 3, 3); 36 | stem(n, abs_y, 'g'); 37 | title('Absolute Part'); 38 | xlabel('Samples'); 39 | ylabel('Values'); 40 | 41 | % Absolute Part - Imaginary 42 | subplot(2, 3, 4); 43 | stem(n, abs(im_y), 'b'); 44 | title('Absolute Part - of Imaginary'); 45 | % plot(n, real_y, 'g', n, im_y, 'b', n, abs_y, 'b', n, abs(im_y), 'g'); 46 | xlabel('Samples'); 47 | ylabel('Values'); 48 | 49 | % Phase Part 50 | subplot(2, 3, 5); 51 | stem(n, phase_angle, 'c'); 52 | title('Phase Angle Part'); 53 | % legend('Imaginary Part', 'Real Part', 'Absolute (Real)', 'Absolute (Imaginary', 'Phase Angle'); 54 | xlabel('Samples'); 55 | ylabel('Values'); 56 | hold off 57 | 58 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | Apache License 2 | Version 2.0, January 2004 3 | http://www.apache.org/licenses/ 4 | 5 | TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 6 | 7 | 1. Definitions. 8 | 9 | "License" shall mean the terms and conditions for use, reproduction, 10 | and distribution as defined by Sections 1 through 9 of this document. 11 | 12 | "Licensor" shall mean the copyright owner or entity authorized by 13 | the copyright owner that is granting the License. 14 | 15 | "Legal Entity" shall mean the union of the acting entity and all 16 | other entities that control, are controlled by, or are under common 17 | control with that entity. For the purposes of this definition, 18 | "control" means (i) the power, direct or indirect, to cause the 19 | direction or management of such entity, whether by contract or 20 | otherwise, or (ii) ownership of fifty percent (50%) or more of the 21 | outstanding shares, or (iii) beneficial ownership of such entity. 22 | 23 | "You" (or "Your") shall mean an individual or Legal Entity 24 | exercising permissions granted by this License. 25 | 26 | "Source" form shall mean the preferred form for making modifications, 27 | including but not limited to software source code, documentation 28 | source, and configuration files. 29 | 30 | "Object" form shall mean any form resulting from mechanical 31 | transformation or translation of a Source form, including but 32 | not limited to compiled object code, generated documentation, 33 | and conversions to other media types. 34 | 35 | "Work" shall mean the work of authorship, whether in Source or 36 | Object form, made available under the License, as indicated by a 37 | copyright notice that is included in or attached to the work 38 | (an example is provided in the Appendix below). 39 | 40 | "Derivative Works" shall mean any work, whether in Source or Object 41 | form, that is based on (or derived from) the Work and for which the 42 | editorial revisions, annotations, elaborations, or other modifications 43 | represent, as a whole, an original work of authorship. For the purposes 44 | of this License, Derivative Works shall not include works that remain 45 | separable from, or merely link (or bind by name) to the interfaces of, 46 | the Work and Derivative Works thereof. 47 | 48 | "Contribution" shall mean any work of authorship, including 49 | the original version of the Work and any modifications or additions 50 | to that Work or Derivative Works thereof, that is intentionally 51 | submitted to Licensor for inclusion in the Work by the copyright owner 52 | or by an individual or Legal Entity authorized to submit on behalf of 53 | the copyright owner. For the purposes of this definition, "submitted" 54 | means any form of electronic, verbal, or written communication sent 55 | to the Licensor or its representatives, including but not limited to 56 | communication on electronic mailing lists, source code control systems, 57 | and issue tracking systems that are managed by, or on behalf of, the 58 | Licensor for the purpose of discussing and improving the Work, but 59 | excluding communication that is conspicuously marked or otherwise 60 | designated in writing by the copyright owner as "Not a Contribution." 61 | 62 | "Contributor" shall mean Licensor and any individual or Legal Entity 63 | on behalf of whom a Contribution has been received by Licensor and 64 | subsequently incorporated within the Work. 65 | 66 | 2. Grant of Copyright License. Subject to the terms and conditions of 67 | this License, each Contributor hereby grants to You a perpetual, 68 | worldwide, non-exclusive, no-charge, royalty-free, irrevocable 69 | copyright license to reproduce, prepare Derivative Works of, 70 | publicly display, publicly perform, sublicense, and distribute the 71 | Work and such Derivative Works in Source or Object form. 72 | 73 | 3. Grant of Patent License. Subject to the terms and conditions of 74 | this License, each Contributor hereby grants to You a perpetual, 75 | worldwide, non-exclusive, no-charge, royalty-free, irrevocable 76 | (except as stated in this section) patent license to make, have made, 77 | use, offer to sell, sell, import, and otherwise transfer the Work, 78 | where such license applies only to those patent claims licensable 79 | by such Contributor that are necessarily infringed by their 80 | Contribution(s) alone or by combination of their Contribution(s) 81 | with the Work to which such Contribution(s) was submitted. If You 82 | institute patent litigation against any entity (including a 83 | cross-claim or counterclaim in a lawsuit) alleging that the Work 84 | or a Contribution incorporated within the Work constitutes direct 85 | or contributory patent infringement, then any patent licenses 86 | granted to You under this License for that Work shall terminate 87 | as of the date such litigation is filed. 88 | 89 | 4. Redistribution. You may reproduce and distribute copies of the 90 | Work or Derivative Works thereof in any medium, with or without 91 | modifications, and in Source or Object form, provided that You 92 | meet the following conditions: 93 | 94 | (a) You must give any other recipients of the Work or 95 | Derivative Works a copy of this License; and 96 | 97 | (b) You must cause any modified files to carry prominent notices 98 | stating that You changed the files; and 99 | 100 | (c) You must retain, in the Source form of any Derivative Works 101 | that You distribute, all copyright, patent, trademark, and 102 | attribution notices from the Source form of the Work, 103 | excluding those notices that do not pertain to any part of 104 | the Derivative Works; and 105 | 106 | (d) If the Work includes a "NOTICE" text file as part of its 107 | distribution, then any Derivative Works that You distribute must 108 | include a readable copy of the attribution notices contained 109 | within such NOTICE file, excluding those notices that do not 110 | pertain to any part of the Derivative Works, in at least one 111 | of the following places: within a NOTICE text file distributed 112 | as part of the Derivative Works; within the Source form or 113 | documentation, if provided along with the Derivative Works; or, 114 | within a display generated by the Derivative Works, if and 115 | wherever such third-party notices normally appear. The contents 116 | of the NOTICE file are for informational purposes only and 117 | do not modify the License. You may add Your own attribution 118 | notices within Derivative Works that You distribute, alongside 119 | or as an addendum to the NOTICE text from the Work, provided 120 | that such additional attribution notices cannot be construed 121 | as modifying the License. 122 | 123 | You may add Your own copyright statement to Your modifications and 124 | may provide additional or different license terms and conditions 125 | for use, reproduction, or distribution of Your modifications, or 126 | for any such Derivative Works as a whole, provided Your use, 127 | reproduction, and distribution of the Work otherwise complies with 128 | the conditions stated in this License. 129 | 130 | 5. Submission of Contributions. Unless You explicitly state otherwise, 131 | any Contribution intentionally submitted for inclusion in the Work 132 | by You to the Licensor shall be under the terms and conditions of 133 | this License, without any additional terms or conditions. 134 | Notwithstanding the above, nothing herein shall supersede or modify 135 | the terms of any separate license agreement you may have executed 136 | with Licensor regarding such Contributions. 137 | 138 | 6. Trademarks. This License does not grant permission to use the trade 139 | names, trademarks, service marks, or product names of the Licensor, 140 | except as required for reasonable and customary use in describing the 141 | origin of the Work and reproducing the content of the NOTICE file. 142 | 143 | 7. Disclaimer of Warranty. Unless required by applicable law or 144 | agreed to in writing, Licensor provides the Work (and each 145 | Contributor provides its Contributions) on an "AS IS" BASIS, 146 | WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or 147 | implied, including, without limitation, any warranties or conditions 148 | of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A 149 | PARTICULAR PURPOSE. You are solely responsible for determining the 150 | appropriateness of using or redistributing the Work and assume any 151 | risks associated with Your exercise of permissions under this License. 152 | 153 | 8. Limitation of Liability. In no event and under no legal theory, 154 | whether in tort (including negligence), contract, or otherwise, 155 | unless required by applicable law (such as deliberate and grossly 156 | negligent acts) or agreed to in writing, shall any Contributor be 157 | liable to You for damages, including any direct, indirect, special, 158 | incidental, or consequential damages of any character arising as a 159 | result of this License or out of the use or inability to use the 160 | Work (including but not limited to damages for loss of goodwill, 161 | work stoppage, computer failure or malfunction, or any and all 162 | other commercial damages or losses), even if such Contributor 163 | has been advised of the possibility of such damages. 164 | 165 | 9. Accepting Warranty or Additional Liability. While redistributing 166 | the Work or Derivative Works thereof, You may choose to offer, 167 | and charge a fee for, acceptance of support, warranty, indemnity, 168 | or other liability obligations and/or rights consistent with this 169 | License. However, in accepting such obligations, You may act only 170 | on Your own behalf and on Your sole responsibility, not on behalf 171 | of any other Contributor, and only if You agree to indemnify, 172 | defend, and hold each Contributor harmless for any liability 173 | incurred by, or claims asserted against, such Contributor by reason 174 | of your accepting any such warranty or additional liability. 175 | 176 | END OF TERMS AND CONDITIONS 177 | 178 | APPENDIX: How to apply the Apache License to your work. 179 | 180 | To apply the Apache License to your work, attach the following 181 | boilerplate notice, with the fields enclosed by brackets "[]" 182 | replaced with your own identifying information. (Don't include 183 | the brackets!) The text should be enclosed in the appropriate 184 | comment syntax for the file format. We also recommend that a 185 | file or class name and description of purpose be included on the 186 | same "printed page" as the copyright notice for easier 187 | identification within third-party archives. 188 | 189 | Copyright [yyyy] [name of copyright owner] 190 | 191 | Licensed under the Apache License, Version 2.0 (the "License"); 192 | you may not use this file except in compliance with the License. 193 | You may obtain a copy of the License at 194 | 195 | http://www.apache.org/licenses/LICENSE-2.0 196 | 197 | Unless required by applicable law or agreed to in writing, software 198 | distributed under the License is distributed on an "AS IS" BASIS, 199 | WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 200 | See the License for the specific language governing permissions and 201 | limitations under the License. 202 | --------------------------------------------------------------------------------