claudiocamera
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Hi Folks,
Studying DFT I came across a difference in definition of synthesis and analysis equations by Oppenheim Schafer and Haykin Van Veen's books.
Haykin defines: x[n] =Σ X[K]e^(jknΩ) and X[K]=1/N Σ x[n]e^(-jknΩ)
Oppenheim defines: x[n] =1/N Σ X[K]e^(jknΩ) and X[K]= Σ x[n]e^(-jknΩ)
Notice that there is a switching in the factor 1/N in the definitions above. Somebody could help me explaining why they use the factor 1/N differently ?
Are both of them correct ? What the factor 1/N means? If either way is correct, why ?
Thanxs in advance.
Studying DFT I came across a difference in definition of synthesis and analysis equations by Oppenheim Schafer and Haykin Van Veen's books.
Haykin defines: x[n] =Σ X[K]e^(jknΩ) and X[K]=1/N Σ x[n]e^(-jknΩ)
Oppenheim defines: x[n] =1/N Σ X[K]e^(jknΩ) and X[K]= Σ x[n]e^(-jknΩ)
Notice that there is a switching in the factor 1/N in the definitions above. Somebody could help me explaining why they use the factor 1/N differently ?
Are both of them correct ? What the factor 1/N means? If either way is correct, why ?
Thanxs in advance.