Answer:

The statement is true. The anti-symmetric condition is not used in the design of low pass linear phase FIR filters. Let's understand why this is the case.

Understanding Linear Phase FIR Filters:

A linear phase FIR filter is a type of filter that exhibits linear phase response. Linear phase response means that all the frequency components of the input signal experience the same delay, which results in the preservation of the shape of the input signal. This is desirable in many applications, such as audio and image processing, where preserving the signal's shape is crucial.

Designing Low Pass Linear Phase FIR Filters:

To design a low pass linear phase FIR filter, we typically use the windowing method or the frequency sampling method. These methods involve selecting a desired frequency response and then designing a filter that approximates that response.

Role of Anti-Symmetric Condition:

The anti-symmetric condition is a property of the impulse response of a linear phase FIR filter. It states that if the impulse response of the filter is anti-symmetric, then the filter's frequency response will be odd symmetric. Conversely, if the impulse response is even symmetric, the frequency response will be even symmetric.

Why Anti-Symmetric Condition is Not Used:

In the design of low pass linear phase FIR filters, we aim to achieve a desired frequency response with minimal distortion. The anti-symmetric condition restricts the shape of the impulse response, which may not always be suitable for achieving the desired frequency response.

Alternative Approaches:

Instead of relying on the anti-symmetric condition, the windowing method or the frequency sampling method are used to design low pass linear phase FIR filters. These methods allow for more flexibility in shaping the frequency response by selecting appropriate window functions or specifying the desired frequency samples.

Conclusion:

In conclusion, the anti-symmetric condition is not used in the design of low pass linear phase FIR filters. The windowing method or the frequency sampling method are commonly used instead to achieve the desired frequency response.