a) Derive and show the correspondence between the Filtering Operation in the Spatial Domain to the filtering Operation in the Frequency Domain using 1-D systems and sequences. You must provide all necessary equations and derivation steps Hint: Using definition of Convolution Sum and Fourier Transform for 1-D case for simplicity. b) Derive and show the 'Commutative' property of the 'Convolution' operation for the simple case of 1-D systems and sequences. You must provide all necessary equations and derivation steps.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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the Spatial
a) Derive and show the correspondence between the Filtering Operation
Domain to the filtering Operation in the Frequency Domain using 1-D systems and
sequences. You must provide all necessary equations and derivation steps
Hint: Using definition of Convolution Sum and Fourier Transform for 1-D case for
simplicity.
b) Derive and show the 'Commutative' property of the 'Convolution' operation for the
simple case of 1-D systems and sequences. You must provide all necessary
equations and derivation steps.
Transcribed Image Text:the Spatial a) Derive and show the correspondence between the Filtering Operation Domain to the filtering Operation in the Frequency Domain using 1-D systems and sequences. You must provide all necessary equations and derivation steps Hint: Using definition of Convolution Sum and Fourier Transform for 1-D case for simplicity. b) Derive and show the 'Commutative' property of the 'Convolution' operation for the simple case of 1-D systems and sequences. You must provide all necessary equations and derivation steps.
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