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For how many values of the impulse response, a perfect match is present between h(n) and hd(n)?

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For how many values of the impulse response, a perfect match is present between h(n) and hd(n)?

(a) L

(b) M+N+1

(c) 2L-M-N-1

(d) All of the mentioned

I have been asked this question during an interview.

My question is based upon Pade Approximation Method topic in section Digital Filters Design of Digital Signal Processing

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The correct option is (d) All of the mentioned

The explanation is: We obtain a perfect match between h(n) and the desired response hd(n) for the first L values of the impulse response and we also know that L=M+N+1.

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