O'Reilly logo

Signals and Systems by Smarajit Ghosh

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

ADDITIONAL SOLVED EXAMPLES

Example 7.4   Convolve image and image

Solution

Let         image

which gives

z(0) = x(0)y(0)

z(1) = x(0)y(1) + x(1)y(0)

z(2) = x(0)y(2) + x(1)y(1) + x(2)y(0)

z(3) = x(0)y(3) + x(1)y(2) + x(2)y(1) + x (3)y(0)

Here

x(0) = 1, x(1) = 2, x (2) = 3 and x (3) = 4 and

y(0) = 1, y (1) = –2, y (2) = 0. y (3) = 0

z(0) = x (0)y(0) = 1 × 1 = 1

z(1) = x (0)y(1) + x (1)y(0) = 1 × (–2) + 2 × (1) = 0

z(2) = x (0)y(2) + x (1)y(1) + x (2)y(0) = 1 × 0 + 2 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required