Summing result of multiple function calls to verify Nyquist criterium

Question

Julian Vos 2021-1-4

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/708303-summing-result-of-multiple-function-calls-to-verify-nyquist-criterium

回答： Sai Sumanth Korthiwada 2022-2-24

I am writing code to plot a certain signal, P(f) with shifts of 1/T. Now I am interested in a method to add all these separate and limited functions [-1/T 1/T] and plot them in the same fplot window to verify if the result satisfies the Nyquist criterium for zero inter symbol interference .

T = 1;
bounds = [-1/T 1/T];
P = @(f) 1./sqrt(T) .* cos(pi.*f.*T./2);
NO_graphs = 3; 
for m = -(NO_graphs-1)/2:1:(NO_graphs-1)/2
bounds =  [-1/T+m/T 1/T+m/T];
p_next = FuncShift(p, 1/T*m);
fplot(p_next,bounds);
hold on
end
function [ func_up ] = FuncShift( func, shift ) %not mine but works like a charm
    func_up = @(x)(func(x-shift));
end

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Answer 1

Sai Sumanth Korthiwada 2022-2-24

0
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/708303-summing-result-of-multiple-function-calls-to-verify-nyquist-criterium#answer_903520

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The given code plots the functions from [-1/T 1/T] in the same window. Changing the case of the variable from “P” to “p” in line 4 will output the desired “fplot” in a single window using “hold on” keyword.

T = 1; 
bounds = [-1/T 1/T]; 
% replacing 'P' with 'p' 
p = @(f) 1./sqrt(T) .* cos(pi.*f.*T./2); 
NO_graphs = 3; 
for m = -(NO_graphs-1)/2:1:(NO_graphs-1)/2 
    bounds = [-1/T+m/T 1/T+m/T]; 
    p_next = FuncShift(p, 1/T*m); 
    fplot(p_next,bounds); 
    hold on 
end 
function [ func_up ] = FuncShift( func, shift ) %not mine but works like a charm 
func_up = @(x)(func(x-shift)); 
end 