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Question 1: When designing a filter for signal denoising, what is the primary trade-off when using a Gaussian filter?

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Question 2: In what type of signal processing algorithm is the Gram-Schmidt process most commonly used?

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Question 3: In color image processing, what is the purpose of using the HSV (Hue, Saturation, Value) color space instead of RGB?

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Question 4: What is the advantage of using a Butterworth filter in signal processing?

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Question 5: What is the computational complexity of the FFT algorithm for an N-point sequence?

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Question 6: What is the purpose of error-correcting codes in algorithm design for digital communication systems?

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