3. 离散时间傅立叶变换

教材课本[1]中第三章“频域中的离散时间信号”课后习题:

[1] Mitra, S.K., 著;余翔宇 译;《数字信号处理——基于计算机的方法》,电子工业出版社,2014年,第四版

DEADLINE: 2019年10月1日

理论部分

3.16,3.21,3.29,3.53,3.61,3.66

实践部分

M3.1, M3.3, M3.4, M3.5

实践部分所需示例代码参考:

% Program 3_1
% Discrete-Time Fourier Transform Computation
%
% Read in the desired number of frequency samples
k = input('Number of frequency points = ');
% Read in the numerator and denominator coefficients
num = input('Numerator coefficients = ');
den = input('Denominator coefficients = ');
% Compute the frequency response
w = 0:pi/(k-1):pi;
h = freqz(num, den, w);
% Plot the frequency response
subplot(2,2,1)
plot(w/pi,real(h));grid
title('Real part')
xlabel('\omega/\pi'); ylabel('Amplitude')
subplot(2,2,2)
plot(w/pi,imag(h));grid
title('Imaginary part')
xlabel('\omega/\pi'); ylabel('Amplitude')
subplot(2,2,3)
plot(w/pi,abs(h));grid
title('Magnitude Spectrum')
xlabel('\omega/\pi'); ylabel('Magnitude')
subplot(2,2,4)
plot(w/pi,angle(h));grid
title('Phase Spectrum')
xlabel('\omega/\pi'); ylabel('Phase, radians')