Write an Introduction on the topic of circular convolution.
Let h ( n )and x ( n
) be finite-length sequences of length N with N-point
DFTs H ( k ) and X ( k )
, respectively. The
sequence that has a DFT equal to the product Y ( k
)= H (k)X( k )
The circular convolution of two finite-length sequences h(n) and
x(n) is equivalent to one period of the periodic
convolution of the periodic sequences x( n ) and h(n)
In general, circular convolution is not the same as linear
convolution. and N -point circular convolution is different, in
general, from M-point circular convolution when M is not equal
to N .
circular convolution
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