Lecture 28 : Discrete time Fourier transform and its Properties
Conclusion:
In
this lecture you have learnt:
For a Discrete Time Periodic Signal the Fourier Coefficients are related as .
DTFT is unstable which means that for a bounded 'x[n]' it gives an
unbounded output.
We saw its time shifting & frequency shiftingproperties & also time scaling & frequency scaling.
Convolution Property for an LSI system is given as, if 'x[n]'
is the input to a system with transfer function
'h[n] then the DTFT of the output 'y[n]' is the multiplication of the DTFTs of 'x[n]' and
'h[n]'.
We saw symmetry properties and DTFT of cross-correlation between
'x[n]' and 'h[n]' .
Congratulations, you have finished Lecture 28. To view the next lecture select it from
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