(d) x(t) = sin(3pi t) (third harmonic sine) and h(t) = sin (4pi t) (fourth harmonic sine)   Answer d only

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(d) x(t) = sin(3pi t) (third harmonic sine) and h(t) = sin (4pi t) (fourth harmonic sine)

 

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Calculate the inner product (r(t), h(t)) for the following pairs of signals in the interval of
t = 0 to 2:
(a) r(t) = sin(πt) (first harmonic sine) and h(t) = cos(πt) (first harmonic cosine)
(b) x(t) = sin(πt) (first harmonic sinc) and h(t) = cos(2πt) (second harmonic cosine)
(c) x(t) = sin(3πt) (third harmonic sine) and h(t) = sin(3πt) (third harmonic sine)
Transcribed Image Text:Calculate the inner product (r(t), h(t)) for the following pairs of signals in the interval of t = 0 to 2: (a) r(t) = sin(πt) (first harmonic sine) and h(t) = cos(πt) (first harmonic cosine) (b) x(t) = sin(πt) (first harmonic sinc) and h(t) = cos(2πt) (second harmonic cosine) (c) x(t) = sin(3πt) (third harmonic sine) and h(t) = sin(3πt) (third harmonic sine)
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