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Lab No.11

Practice (Signal Addition and
Multiplication)

Designed by : Dawar Awan
dawar@cecos.edu.pk
CECOS College of Engineering and IT

March – July 2012
Concept
 Fourier series theory states that a periodic wave can be
represented as a summation of sinusoidal waves with
different frequencies, amplitudes and phase values.
 The frequencies of the sinusoids are harmonically
related.
fk = k.fo
 Where fo is the fundamental frequency and fk is the kth

harmonic.
CECOS College of Engineering and IT

March – July 2012
Signal addition

CECOS College of Engineering and IT

March – July 2012
Signal addition

y1

y2
CECOS College of Engineering and IT

March – July 2012
Signal addition

CECOS College of Engineering and IT

March – July 2012
Task
1. Perform the following signal additions
a) u[n] + u[-n]
b) u[n+2] + u[n-2]
2. Perform the following signal subtractions
a) u[n] - u [n+5]

b) [1,2,3,4,5] - [5,4,3,2,1]
3. Multiply the following two signals
a) 2n x u[n]
4. Decompose the following signal into its even and odd parts
a) [1,2,3,4,5,4,3,2,1]

Assume -5 ≤ n ≤ 5 for
all questions

CECOS College of Engineering and IT

March – July 2012

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matlab 2

  • 1. Lab No.11 Practice (Signal Addition and Multiplication) Designed by : Dawar Awan dawar@cecos.edu.pk CECOS College of Engineering and IT March – July 2012
  • 2. Concept  Fourier series theory states that a periodic wave can be represented as a summation of sinusoidal waves with different frequencies, amplitudes and phase values.  The frequencies of the sinusoids are harmonically related. fk = k.fo  Where fo is the fundamental frequency and fk is the kth harmonic. CECOS College of Engineering and IT March – July 2012
  • 3. Signal addition CECOS College of Engineering and IT March – July 2012
  • 4. Signal addition y1 y2 CECOS College of Engineering and IT March – July 2012
  • 5. Signal addition CECOS College of Engineering and IT March – July 2012
  • 6. Task 1. Perform the following signal additions a) u[n] + u[-n] b) u[n+2] + u[n-2] 2. Perform the following signal subtractions a) u[n] - u [n+5] b) [1,2,3,4,5] - [5,4,3,2,1] 3. Multiply the following two signals a) 2n x u[n] 4. Decompose the following signal into its even and odd parts a) [1,2,3,4,5,4,3,2,1] Assume -5 ≤ n ≤ 5 for all questions CECOS College of Engineering and IT March – July 2012