[英]Why do i have to multiply the convolution value times tpas?
tstart=0;
tstop=0.1;
tpas=0.0001;
f=100;
t=tstart:tpas:tstop;
x=0+10*t;
subplot(3,1,1);
plot(t,x,'linewidth',2);
axis([0 0.1001 0 1]);grid;
h=1*exp(-f*t);
subplot(3,1,2);
plot(t,h,'linewidth',2);
axis([0 0.1001 0 1]);
grid;
t2=2*tstart:tpas:2*tstop;
y=conv(x,h) * tpas; y=conv(x,h) * tpas; // what does this line do? // 这行是做什么的? more specifically, why do i have the conv function times tpas value?更具体地说,为什么我有 conv function 乘以 tpas 值?
subplot(3,1,3);
plot(t2,y,'r','linewidth',2);
axis();
grid;
I posted the whole code for context but really i just need to know what happens when i multiply the convolution value with tpas.我发布了上下文的整个代码,但实际上我只需要知道当我将卷积值与 tpas 相乘时会发生什么。
Your filter is h=1*exp(-f*t)
, which is sampled at time values t=tstart:tpas:tstop
您的过滤器是h=1*exp(-f*t)
,它在时间值t=tstart:tpas:tstop
The number of simples in your filter is (tstop-tstart)/tpas
.过滤器中的简单数为(tstop-tstart)/tpas
。 The integral (just the sum of those samples) is therefore proportional to 1/tpas
.因此,积分(只是这些样本的总和)与1/tpas
。
The convolution will multiply your signal by this factor, so the result is multiplied by tpas
to correct it.卷积会将你的信号乘以这个因子,所以结果乘以tpas
来纠正它。
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