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The impulse response of an LTI system is aperiodic and I pass in a periodic signal. Now I need to find the Fourier Series representation of the output.

Since Convolution in time domain is multiplication in frequency domain, I think that converting both signals in their respective frequency domain and multiplying them would work.

Therefore, finding the fourier series of first and transform for second. Is it a correct way?

My question being is it legal to multiply fourier series and transform the way I'm doing?

The impulse response of an LTI system is aperiodic and I pass in a periodic signal. Now I need to find the Fourier series representation of the output.

Since Convolution in time domain is multiplication in frequency domain, I think that converting both signals in their respective frequency domain and multiplying them would work.

Therefore, finding the Fourier series of first and transform for second. Is it a correct way?

My question being is it legal to multiply fourier series and transform the way I'm doing?

The impulse response of an LTI system is aperiodic and I pass in a periodic signal. Now I need to find the Fourier Series representation of the output.

Since Convolution in time domain is multiplication in frequency domain, I think that converting both signals in their respective frequency domain and multiplying them would work.

Therefore, finding the fourier series of first and transform for second. Is it a correct way?

The impulse response of an LTI system is aperiodic and I pass in a periodic signal. Now I need to find the Fourier Series representation of the output.

Since Convolution in time domain is multiplication in frequency domain, I think that converting both signals in their respective frequency domain and multiplying them would work.

Therefore, finding the fourier series of first and transform for second. Is it a correct way?

My question being is it legal to multiply fourier series and transform the way I'm doing?

Say Impulse response of an LTI is Aperiodic and I pass a Periodic signal, now I need to find the Fourier Series representation of the output.

Since Convolution in time domain if multiplication in Frequency Domain, I think that converting both signals in their respective Frequency Domain and Multiplying them. Therefore finding the Fourier Series of first and Transform for second. Is it a correct way?

Any help is highly appreciated.

The impulse response of an LTI system is aperiodic and I pass in a periodic signal. Now I need to find the Fourier Series representation of the output.

Since Convolution in time domain is multiplication in frequency domain, I think that converting both signals in their respective frequency domain and multiplying them would work. 

Therefore, finding the fourier series of first and transform for second. Is it a correct way?