Symmetry and Modulation in Signals & Systems

This lecture covers symmetry relations in signals, including parity relations, decomposition into odd and even parts, and Hermitian symmetry. It also explores modulation techniques, such as amplitude modulation and convolution in the frequency domain. The properties of the Fourier transform, differentiation, integration, and high frequency amplification effects are discussed, along with the convolution property and multiplication by a monomial. The lecture concludes with an overview of important cases and the moment of order n in signal processing.