Impulse response using IFFT - scaling output values

Aswartha Narayana

2012 3 14

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I created a test system S = 1/(1+s) and its impulse response, himp = is exp(-t). I generated himp using time: 0:1/40:10. I generated frequency response H of S at these N frequencies: [0:0.1:20]. Then created conjugate symmetric vector H1 =[H(1:N-1),conj(H(N:-1:2))]. Then obtained impulse response hn = ifft(H1). I find that I need to multiply hn by 40 for it to match himp. I don't see the need for that based on theory.

Any explanation is appreciated.