ABSTRACT

This chapter provides an introduction to some of the basic aspects of digital signal processing. It can be used for a quick review of some of the essential ideas. The basic mathematical background required is an exposure to summations, Z-transforms, and discrete-time Fourier transforms. One of the main signal conditioning and signal processing operations performed is the filtering operation. Wavelets have caught the attention of the signal processing and communications community on a large scale. Ingrid Daubechies advocated the use of basis functions having a short support. The effective length of the support is different at different frequencies. Wavelet processing is known as multi-rate filtering, octave band processing, constant Q-filtering, wavelet series expansion, multi-resolution signal processing, and bandwidth proportional processing. The chapter examines discrete time signals, typical processing tools and linear data processing. It presents a layman’s introduction to wavelet processing and contrast the Fourier and wavelet transform processing methods.