《DSP using MATLAB》示例Example5.1

终于看到第5章了,继续努力,加油!!!

代码:

xn = [0, 1, 2, 3]; N =4;
Xk = dfs(xn,N)

  用到的dfs函数:

function [Xk] = dfs(xn,N)
%% Computes Discrete Fourier Series Coefficients
%% ---------------------------------------------
%% [Xk] = dfs(xn,N)
%% Xk = DFS coeff. array over 0 <= k <= N-1
%% xn = One period of periodic signal over 0 <=n <= N-1
%%  N = Fundamental period of xn
%%
n = [0:1:N-1];                     % row vector for n
k = [0:1:N-1];                     % row vector for k
WN = exp(-j*2*pi/N);               % Wn factor
nk = n‘*k;                         % creates a N by N matrix of nk values
WNnk = WN .^ nk;                   % DFS matrix
Xk = xn * WNnk;                    % row vector for DFS coefficients

  运行结果:

时间: 2024-10-13 12:24:12

《DSP using MATLAB》示例Example5.1的相关文章

DSP using MATLAB 示例Example3.21

代码: % Discrete-time Signal x1(n) % Ts = 0.0002; n = -25:1:25; nTs = n*Ts; Fs = 1/Ts; x = exp(-1000*abs(nTs)); Ts = 0.001; n = -5:1:5; nTs = n*Ts; Fs = 1/Ts; x = exp(-1000*abs(nTs)); % Analog Signal Dt = 0.00005; t = -0.005:Dt:0.005; xa = x * sinc(Fs*

DSP using MATLAB示例Example3.18

代码: % Analog Signal Dt = 0.00005; t = -0.005:Dt:0.005; xa = exp(-1000*abs(t)); % Continuous-time Fourier Transform Wmax = 2*pi*2000; K = 500; k = 0:1:K; % index array k for frequencies W = k*Wmax/K; % freqency between 0 and +pi, [0,pi] axis divided i

DSP using MATLAB 示例 Example3.19

代码: % Analog Signal Dt = 0.00005; t = -0.005:Dt:0.005; xa = exp(-1000*abs(t)); % Discrete-time Signal Ts = 0.0002; n = -25:1:25; x = exp(-1000*abs(n*Ts)); % Discrete-time Fourier Transform %Wmax = 2*pi*2000; K = 500; k = 0:1:K; w = pi*k/K; % index ar

DSP using MATLAB 示例 Example3.15

上代码: subplot(1,1,1); b = 1; a = [1, -0.8]; n = [0:100]; x = cos(0.05*pi*n); y = filter(b,a,x); figure('NumberTitle', 'off', 'Name', 'Input and Output sequence'); set(gcf,'Color','white'); subplot(2,1,1); stem(n,x); title('Input sequence'); xlabel('n'

DSP using MATlAB 示例Example2.10

上代码 % noise sequence 1 x = [3, 11, 7, 0, -1, 4, 2]; nx = [-3:3]; % given signal x(n) [y,ny] = sigshift(x,nx,2); % obtain x(n-2) set(gcf,'Color','white') subplot(2,1,1);stem(nx,x); title('sequence x(n)'); xlabel('n');ylabel('x(n)'); grid on subplot(2,

DSP using MATLAB 示例Example3.17

DSP using MATLAB示例Example3.6

代码: n = [-5:5]; x = (-0.9).^n; % x(n) = k = -200:200; w = (pi/100)*k; % [0,pi] axis divided into 101 points. X = x * (exp(-j*pi/100)) .^ (n'*k); magX = abs(X); angX = angle(X); realX = real(X); imagX = imag(X); set(gcf,'Color','white'); subplot(2,2,1

DSP using MATLAB 示例Example2.12

代码: b = [1]; a = [1, -0.9]; n = [-5:50]; h = impz(b,a,n); set(gcf,'Color','white'); %subplot(2,1,1); stem(n,h); title('Impulse Response'); xlabel('n'); ylabel('h(n)'); grid on; x = stepseq(0, -5, 50) - stepseq(10, -5, 50) y = filter(b, a, x); figure;

DSP using MATLAB 示例Example2.4

n = [0:10]; x = stepseq(0,0,10) - stepseq(10,0,10); [xe,xo,m] = evenodd(x,n); set(gcf,'Color',[1,1,1]) % 改变坐标外围背景颜色 stem(n,x); title('Rectangular Pulse'); xlabel('n'); ylabel('x(n)') ; axis([-10,10,0,1.2]) grid on figure set(gcf,'Color',[1,1,1]) stem

DSP using MATLAB 示例Example3.9

用到的性质 上代码: n = 0:100; x = cos(pi*n/2); k = -100:100; w = (pi/100)*k; % freqency between -pi and +pi , [0,pi] axis divided into 101 points. X = x * (exp(-j*pi/100)) .^ (n'*k); % DTFT of x % signal multiplied y = exp(j*pi*n/4) .* x; % signal multiplied