Test on Finite Impulse Response (FIR) Filters
FIR Filters Explained: Design, Properties & Examples
Test: FIR Filter Design
20 questions
Question 1: The amplitude frequency response of an FIR filter designed using a rectangular window typically exhibits excellent stop-band attenuation compared to other windowing methods.
A. Ano
B. Ne
Explanation: The study materials show that the amplitude frequency response for a rectangular window has side lobes that are significantly higher (less attenuated) than those of other windows like Blackman or Von Hann, indicating poorer stop-band attenuation. The Gibbs phenomenon, which causes overshoots, is also associated with truncation, which is effectively using a rectangular window.
Question 2: Symmetric FIR filters exhibit a linear phase response.
A. Ano
B. Ne
Explanation: Symmetric FIR filters are known to exhibit a linear phase response. This characteristic ensures a constant group delay, which is particularly important for transmission systems.
Question 3: The moving average, when considered an FIR low-pass filter, is characterized by a slow transition between the pass band and stop band, along with side lobes and small attenuation in the stop band.
A. Ano
B. Ne
Explanation: The study materials state that 'Moving average can be understood as an FIR low - pass filter which is not well designed slow transition between pass band and stop band side lobes and small attenuation in the stop band'.
Question 4: A symmetric FIR filter, before any shifting, is inherently causal.
A. Ano
B. Ne
Explanation: A symmetric FIR filter cannot be realized as its response precedes the cause; it must be shifted to become realizable and causal.
Question 5: Symmetric FIR filter implementation primarily results in a significant reduction in the filter's overall order, making them generally lower in order compared to IIR filters with comparable selectivity.
A. Ano
B. Ne
Explanation: The study materials state that FIR filter symmetry can be used to save half of the multiplications during implementation. However, the materials list 'High order' as a disadvantage for FIR filters, noting that 'For a selectivity that can be compared to IIR filters, a high order is necessary (usually tens at least).' Therefore, symmetric FIR filter implementation does not primarily reduce the filter's order, nor does it make them generally lower in order than IIR filters for comparable selectivity.