 86.8.6.1: Determine the trigonometric interpolating polynomial S2(x) of degre...
 86.8.6.2: Determine the trigonometric interpolating polynomial of degree four...
 86.8.6.3: Use the Fast Fourier Transform Algorithm to compute the trigonometr...
 86.8.6.4: a. Determine the trigonometric interpolating polynomial S4(x) of de...
 86.8.6.5: Use the approximations obtained in Exercise 3 to approximate the fo...
 86.8.6.6: Use the Fast Fourier Transform Algorithm to determine the trigonome...
 86.8.6.7: Use the Fast Fourier Transform Algorithm to determine the trigonome...
 86.8.6.8: Use a trigonometric identity to show that 2m1 j=0 (cos mx j)2 = 2m
 86.8.6.9: Show that c0,... , c2m1 in Algorithm 8.3 are given by c0 c1 c2 . . ...
 86.8.6.10: In the discussion preceding Algorithm 8.3, an example for m = 4 was...
Solutions for Chapter 86: Fast Fourier Transforms
Full solutions for Numerical Analysis (Available Titles CengageNOW)  8th Edition
ISBN: 9780534392000
Solutions for Chapter 86: Fast Fourier Transforms
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. Since 10 problems in chapter 86: Fast Fourier Transforms have been answered, more than 11458 students have viewed full stepbystep solutions from this chapter. Chapter 86: Fast Fourier Transforms includes 10 full stepbystep solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Directed angle
See Polar coordinates.

Identity function
The function ƒ(x) = x.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Logarithmic function with base b
The inverse of the exponential function y = bx, denoted by y = logb x

Monomial function
A polynomial with exactly one term.

Multiplication property of equality
If u = v and w = z, then uw = vz

Natural exponential function
The function ƒ1x2 = ex.

Negative linear correlation
See Linear correlation.

Polar equation
An equation in r and ?.

Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

Rational zeros
Zeros of a function that are rational numbers.

Reference angle
See Reference triangle

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Translation
See Horizontal translation, Vertical translation.

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.

Ymin
The yvalue of the bottom of the viewing window.