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Loudspeaker Array Design

ECE 602 - HW3

Loud Speaker Array Design

Task:
For each of the following cases, different sound array specifications are provided. For each case, specify the array: 
a) Dimensions 
b) Spatial orientation 
c) Volume velocity (gain) profile, and 
d) Signal sweeping method through the array elements 

For each case, generate plots of the array (i) velocity profile, (ii) directivity function in the azimuth and elevation planes, and (iii) radiation pattern. 


Problem 1
A loudspeaker array is required to provide a radiation pattern which exhibits a 30 degree main lobe width and side lobe amplitude suppression greater than 10 dB, when operating at 1 kHz. The radiation pattern needs to be relevant to the azimuth plane and the main lobe needs to point to 0 degree azimuth and elevation. 
Above you can see the plots for Problem 1
Above is the code utilized for obtaining the graphs in Problem 1.  Much of this code is recycled in problems 2-4. 
Problem 2
A loudspeaker array is required to provide a radiation pattern which exhibits a 20 degree main lobe width, side lobe amplitude suppression lower than 30 dB, when operating at 2 kHz. The radiation pattern needs to be relevant to the elevation plane and the main lobe needs to point to -30 degrees elevation. 
Above you can see the plots for Problem 2
Above is the code utilized for obtaining the graphs in Problem 2. 
Problem 3
For the array in case (2) above, it is required that the mainlobe makes a complete sweep of the frontal hemisphere (i.e., 180o) in 4 seconds. Plot the signal delay between the array edges as function of time, which is required in order to achieve the specified sweeping. Specifications: 20 degree main lobe, 2kHz frequency, 30dB side lobe suppresion.
 
Above you can see the plots for Problem 3
Above is the code utilized for obtaining the graphs in Problem 3. 
Loudspeaker Array Design
Published:

Loudspeaker Array Design

Published: