In lab 2, assignment 2, you implemented a smoothing system using convolution with a box of length N and height 1/N: h1n=(un-un-N)/N. Find the coefficients {a, b} of the linear constant coefficient difference equation (LCCDE) describing this system for N=10. Find the coefficients for the system h1n=0.8nun

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Answer 1

The smoothing system using convolution with a box of length N and height 1/N can be described by the following equation:

h1n=(un-un-N)/N

Step-by-step explanation:

To find the coefficients {a, b} of the linear constant coefficient difference equation (LCCDE) for this system, we can rewrite the equation as follows:

h1n = un/N - un-N/N

If we let a = 1/N and b = -1/N, we can express this equation as an LCCDE:

a * un + b * un-N = h1n

For N=10, the coefficients {a, b} are:

a = 1/10 = 0.1

b = -1/10 = -0.1

The coefficients for the system h1n=0.8nun can be found in a similar manner. If we let a = 0.8 and b = 0, we can express this equation as an LCCDE:

a * un + b * un-N = h1n

The coefficients for this system are:

a = 0.8

b = 0

Note that the LCCDE for the smoothing system using convolution with a box of length N and height 1/N is a first-order difference equation, as it depends on the current and previous values of the input signal (un and un-N). The LCCDE for the system h1n=0.8nun is also a first-order difference equation, as it depends only on the current value of the input signal (un).

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Related Questions

an example of architecture with similar features to the persian fire temple pavilion featured in lecture was this early islamic tomb. tomb of ahmed

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Tomb of ahmed is an example of architecture with similar features to the persian fire temple pavilion featured in lecture was this early islamic tomb.

Some information about Ahmad's Tomb:

Ahmad Shah's tomb, also known as Raja no Hajiro and Badshah no Hajiro (King's Mausoleum), is a collection of tombs built during the Medieval period in Ahmedabad. He is widely regarded as the founder of Ahmedabad, Gujarat. The exquisite artwork and architectural extravagance set the tomb apart from other tourist attractions and establishes it as a gold standard in Indian architecture.

Expectations when visiting Ahmad Shah's Tomb:

1. Ahmad Shah's tomb is one of Ahmedabad's most important tourist attractions.

2. The tomb is square in shape and has stone windows with lattice work. Women, on the other hand, are still not permitted in the central chamber of Ahmad Shah's Tomb.

3. Across the street is the Rani no Hajira, which houses the tombs of Ahmad Shah's queens. The tomb is in excellent condition, but the tombs of the queens have deteriorated.

4. Ahmad Shah's tomb is one of Ahmedabad's architectural wonders.

5. The artistic craftsmanship, latticed windows, and domes and minarets give the Tombs of Ahmad Shah an exquisite appearance. This tomb in Ahmedabad is a must-see for anyone interested in Mughal art and culture.

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