Hello All,
Lets say,
N = 32;
n = 0 : N-1;
fin = 1500 hz;
Fs = 48000 hz; % Fs/fin = 32/1
xn = sin(2*pi*fin*n/Fs + theta)
xk = fft(xn)
If Fs and fin are exact mutiple, if i have theta non-zero,
will it cause spectral leakage in FFT mag response, or it will
show up as an added offset in the phase plot?
Regards
Bharat
if i phase shift a sine wave does it cause spectral leakage?
Started by ●July 28, 2010
Reply by ●July 28, 20102010-07-28
On 28 Jul, 15:58, "bharat pathak" <bharat@n_o_s_p_a_m.arithos.com> wrote:> Hello All, > > � � Lets say, > > � � N � = 32; > � � n � = 0 : N-1; > � � fin = 1500 hz; > � � Fs �= 48000 hz; % Fs/fin = 32/1 > > � � xn �= sin(2*pi*fin*n/Fs + theta) > � � xk �= fft(xn) > > � � If Fs and fin are exact mutiple, if i have theta non-zero, > � � will it cause spectral leakage in FFT mag response, or it will > � � show up as an added offset in the phase plot? > > Regards > BharatWhy don't you try it and see? Rune
Reply by ●July 28, 20102010-07-28
Rune Allnor wrote:> On 28 Jul, 15:58, "bharat pathak" <bharat@n_o_s_p_a_m.arithos.com> > wrote: > >>Hello All, >> >> Lets say, >> >> N = 32; >> n = 0 : N-1; >> fin = 1500 hz; >> Fs = 48000 hz; % Fs/fin = 32/1 >> >> xn = sin(2*pi*fin*n/Fs + theta) >> xk = fft(xn) >> >> If Fs and fin are exact mutiple, if i have theta non-zero, >> will it cause spectral leakage in FFT mag response, or it will >> show up as an added offset in the phase plot? >> >>Regards >>Bharat > > > Why don't you try it and see?Because he is imbecile and hopeless idiot. Don't you know this already?
Reply by ●July 28, 20102010-07-28
On 28 Jul, 16:07, Vladimir Vassilevsky <nos...@nowhere.com> wrote:> Rune Allnor wrote: > > On 28 Jul, 15:58, "bharat pathak" <bharat@n_o_s_p_a_m.arithos.com> > > wrote: > > >>Hello All, > > >> � �Lets say, > > >> � �N � = 32; > >> � �n � = 0 : N-1; > >> � �fin = 1500 hz; > >> � �Fs �= 48000 hz; % Fs/fin = 32/1 > > >> � �xn �= sin(2*pi*fin*n/Fs + theta) > >> � �xk �= fft(xn) > > >> � �If Fs and fin are exact mutiple, if i have theta non-zero, > >> � �will it cause spectral leakage in FFT mag response, or it will > >> � �show up as an added offset in the phase plot? > > >>Regards > >>Bharat > > > Why don't you try it and see? > > Because he is imbecile and hopeless idiot. Don't you know this already?Seems I had too much time on my hands... thanks for pointing it out. Rune
Reply by ●July 28, 20102010-07-28
On Jul 28, 9:58�am, "bharat pathak" <bharat@n_o_s_p_a_m.arithos.com> wrote:> Hello All, > > � � Lets say, > > � � N � = 32; > � � n � = 0 : N-1; > � � fin = 1500 hz; > � � Fs �= 48000 hz; % Fs/fin = 32/1 > > � � xn �= sin(2*pi*fin*n/Fs + theta) > � � xk �= fft(xn) > > � � If Fs and fin are exact mutiple, if i have theta non-zero, > � � will it cause spectral leakage in FFT mag response, or it will > � � show up as an added offset in the phase plot? > > Regards > BharatBharat, Aren't you teaching seminars on DSP? Dirk
Reply by ●July 28, 20102010-07-28
bharat pathak wrote:> Hello All, > > Lets say, > > N = 32; > n = 0 : N-1; > fin = 1500 hz; > Fs = 48000 hz; % Fs/fin = 32/1 > > xn = sin(2*pi*fin*n/Fs + theta) > xk = fft(xn) > > If Fs and fin are exact mutiple, if i have theta non-zero, > will it cause spectral leakage in FFT mag response, or it will > show up as an added offset in the phase plot? > > Regards > BharatI'd like to think that there are no dumb questions. So, I will answer in some fashion: - Each sample in the FFT has Real and Imaginary parts or Magnitude and Phase. Right? You know this, right? So, if the phase is changed in any sample, then what happens to the magnitude? Hint: "Nothing" is the right answer. - There is no "phase plot" in the expressions given. Are we supposed to assume what you mean exactly? Hint: If you change the phase, it will change the phase. Fred
Reply by ●July 28, 20102010-07-28
On Jul 29, 1:58�am, "bharat pathak" <bharat@n_o_s_p_a_m.arithos.com> wrote:> Hello All, > > � � Lets say, > > � � N � = 32; > � � n � = 0 : N-1; > � � fin = 1500 hz; > � � Fs �= 48000 hz; % Fs/fin = 32/1 > > � � xn �= sin(2*pi*fin*n/Fs + theta) > � � xk �= fft(xn) > > � � If Fs and fin are exact mutiple, if i have theta non-zero, > � � will it cause spectral leakage in FFT mag response, or it will > � � show up as an added offset in the phase plot? > > Regards > BharatPhase is a relative measure to have any meaning at all, so you would need something to measure phase with respect to. No it doesn't! Hardy
Reply by ●July 29, 20102010-07-29
I was just trying to understand FFT and the presence of sine and cosine terms present as the basis functions. I dont know whats wrong in asking questions and why cant experts make mistakes in understanding. Long time back I had pointed an "understanding error" in Rick Lyons book. and he acknowledged the same. While discussion I had figured it out that his assumptions were wrong to begin with. Does that mean he does not know DSP? Regards Bharat
Reply by ●July 29, 20102010-07-29
bharat pathak wrote:> I was just trying to understand FFT and the presence of sine and > cosine terms present as the basis functions.Hm. What it should mean?> I dont know whats wrong > in asking questions and why cant experts make mistakes in understanding.Oh, nothing wrong. You may even become a PhD.> Long time back I had pointed an "understanding error" in Rick Lyons book. > and he acknowledged the same. While discussion I had figured it out that > his assumptions were wrong to begin with. Does that mean he does not > know DSP?"Stupid is as stupid does", as Forrest Gump used to say.> Regards > BharatVLV
Reply by ●July 29, 20102010-07-29
On Jul 28, 11:39�pm, Vladimir Vassilevsky <nos...@nowhere.com> wrote:> bharat pathak wrote: > > I was just trying to understand FFT and the presence of sine and > > cosine terms present as the basis functions. > > Hm. What it should mean? > > > I dont know whats wrong > > in asking questions and why cant experts make mistakes in understanding. > > Oh, nothing wrong. You may even become a PhD. > > > Long time back I had pointed an "understanding error" in Rick Lyons book. > > and he acknowledged the same. While discussion I had figured it out that > > his assumptions were wrong to begin with. Does that mean he does not > > know DSP? > > "Stupid is as stupid does", as Forrest Gump used to say. > > > Regards > > Bharat > > VLVi think it's Simon Cowell spoofing Vlad V. i didn't make it to the comp.dsp conference to meet "Vladimir" (who i am sure is Simon Cowell) first hand, so i leave it to those who did to verify my suspicion. r b-j
