Basic Signal Processing Operations
Nassir H. Sabah · 2017
This chapter explains distortion, which is manifested as a difference between the input and output waveforms, and relate this to the frequency response, the impulse response, and circuit memory. It utilizes the ideal filter to recover, in the frequency domain, the original signal from a sampled signal in the absence of aliasing. Filtering and smoothing are also important signal processing operations. A signal is distorted when its waveform is changed, which necessarily implies a change in the relative magnitudes and phases of its frequency components. The distortion produced by a given linear time-invariant (LTI) circuit can be related to the impulse response of the circuit using the property of circuit memory. Modulation is the varying of a property of a higher-frequency signal in accordance with the instantaneous values of a lower-frequency signal. The chapter concludes with an explanation of the nature of digital signals and how they differ from analog signals.