Digital Signal Processing Using MATLAB and Wavelets

Appendix A: Constants and Variables Used in This Book

A.1 Constants

The Greek letter pi is ? ? 3.14159

Euler's constant e ? 2.71828


A.2 Variables

? is a variable used to represent some angle. Often, we use it to represent the phase angle in a time-varying sinusoid. This is typically given in radians, e.g., ? = ?/6.

? is a variable used to represent some angle. It is often used as the argument of a sine or cosine function, e.g., cos( ?).

? is used with statistics, for example, ? 2 is the variance.

? is another variable used to represent some angle. Also, it is used as a frequency, or more precisely, a radian frequency. In this sense, ? = 2 ? f. It has units of radians/seconds.

a stands for amplitude, used with a sinusoid.

f represents a frequency, given in Hertz.

g represents an FIR filter coefficients, appearing with wavelets since h is already used. Typically, g corresponds to the highpass filter of a filter pair.

h represents the unit impulse response. For FIR filters, h will be the same thing as the filter coefficients. With a filter pair, h corresponds to the lowpass filter.

j typically means ? ?1, except when it comes to wavelets, where it is used as an index.

J is the upper limit for j when talking about wavelets.

k is an integer.

m

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