Understanding the DTFT & Its Properties

This lesson from Anish Turlapaty covers how to find the DTFT of complex exponent, then using that to find the DTFT of a cosine and sine of a given signal.

Math instructor Anish Turlapaty demonstrates proofs for the linearity, time shift, and frequency shift properties of the discrete-time Fourier transform.

Continuing the properties of a DTFT, this lesson covers the properties of complex conjugation, folded or time-reversed signals, and even-odd symmetry.

Wrapping up the discussion of properties of DTFT, this lesson covers the properties of periodic convolution of signals in time and frequency domains.

Math instructor Anish Turlapaty discusses the symmetry property of the DTFT and its consequences regarding a signal's components, its magnitude, and its phase.