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Spurious When Fs$F_s/FF$ is not an integer

We are using a 16bit16-bit DAC for a waveform generation between to 500MHz$500\textrm{ MHz}$ with the sampling frequency of 1200MHz$1200\textrm{ MHz}$. The specification for the waveform generation is 10Hz$10\textrm{ Hz}$ frequency resolution throughout the band & >60dB SFDR $>60\textrm{ dB}$ SFDR. The spectral performance of the DAC is fine (more than 65dB$65\textrm{ dB}$ SFDR) for the frequencies which is satisfying the condition,:

Fs/F = Integer$$\frac{F_s}{F}=k \quad\big\vert\quad k\in \mathbb Z$$

The frequencies which is not satisfying the above condition yields some spurious which is not meeting my SFDR specspecification. Since the samples of every cycle will not be same, it's creating an envelope over the waveform, due to a phase values repeating itself periodically over a no.number of cycle. This envelope causing a spurious. 

If we generate a frequency of 200.01MHz$200.01\textrm{ MHz}$ in MATLAB with 1.2GHz Fs$F_s = 1.2\textrm{ GHz }$, we can clearly notice the Envelopeenvelope with periodic time period of 16.65us $16.65\textrm{ $\mu$s}$ (60KHz$60\textrm{ kHz}$).

  The figure below figures areis the MATLAB Time domaintime-domain plot for 200.01MHz$200.01\textrm{ MHz}$.   

Time Domain Plot for 200.01MHz with 1.2GHz Fs

With my DAC, I'm getting a spurious at + or - 60KHz$\pm 60\textrm{ kHz}$ and + or - 30KHz$\pm 30\textrm{ kHz}$ apart from my generated frequency(F$F$).

The below image below is the DAC output spectrum for 200.01MHz$200.01\textrm{ MHz}$ captured with spectrum analyzer.

Suggestions are greatly appreciated..

Thanks & Regards

Spurious When Fs/F is not an integer

We are using a 16bit DAC for a waveform generation between to 500MHz with the sampling frequency of 1200MHz. The specification for the waveform generation is 10Hz frequency resolution throughout the band & >60dB SFDR. The spectral performance of the DAC is fine (more than 65dB SFDR) for the frequencies which is satisfying the condition,

Fs/F = Integer

The frequencies which is not satisfying the above condition yields some spurious which is not meeting my SFDR spec. Since the samples of every cycle will not be same, it's creating an envelope over the waveform, due to a phase values repeating itself periodically over a no. of cycle. This envelope causing a spurious. If we generate a frequency of 200.01MHz in MATLAB with 1.2GHz Fs, we can clearly notice the Envelope with periodic time period of 16.65us (60KHz).

  The below figures are the MATLAB Time domain plot for 200.01MHz.  Time Domain Plot for 200.01MHz with 1.2GHz Fs

With my DAC, I'm getting a spurious at + or - 60KHz and + or - 30KHz apart from my generated frequency(F).

The below image is the DAC output spectrum for 200.01MHz captured with spectrum analyzer.

Suggestions are greatly appreciated..

Thanks & Regards

Spurious When $F_s/F$ is not an integer

We are using a 16-bit DAC for a waveform generation between to $500\textrm{ MHz}$ with the sampling frequency of $1200\textrm{ MHz}$. The specification for the waveform generation is $10\textrm{ Hz}$ frequency resolution throughout the band $>60\textrm{ dB}$ SFDR. The spectral performance of the DAC is fine (more than $65\textrm{ dB}$ SFDR) for the frequencies which is satisfying the condition:

$$\frac{F_s}{F}=k \quad\big\vert\quad k\in \mathbb Z$$

The frequencies which is not satisfying the above condition yields some spurious which is not meeting my SFDR specification. Since the samples of every cycle will not be same, it's creating an envelope over the waveform, due to a phase values repeating itself periodically over a number of cycle. This envelope causing a spurious. 

If we generate a frequency of $200.01\textrm{ MHz}$ in MATLAB with $F_s = 1.2\textrm{ GHz }$, we can clearly notice the envelope with periodic time period of $16.65\textrm{ $\mu$s}$ ($60\textrm{ kHz}$). The figure below is the MATLAB time-domain plot for $200.01\textrm{ MHz}$. 

Time Domain Plot for 200.01MHz with 1.2GHz Fs

With my DAC, I'm getting a spurious at $\pm 60\textrm{ kHz}$ and $\pm 30\textrm{ kHz}$ apart from my generated frequency($F$).

The image below is the DAC output spectrum for $200.01\textrm{ MHz}$ captured with spectrum analyzer.

Suggestions are greatly appreciated.

MATLAB Simulation Code; Fs = 1200e6; %Sampling Frequency
T = 1/Fs; % Clock Period
N = 2^18; % No. of samples
t = (0:N-1)T; % Linear time interval
F = 200.01e6; % Required Frequency
phase = 2
piFt; % Consecutive Phase values in rad
sig = sin(phase); % Time Domain Signal
figure;
plot(t, sig), xlabel('Time in Sec'), ylabel('Amp'), title('Time Domain Plot for 200.01MHz');
wrap_phase = mod(phase, 2*pi);
figure;
plot(t,wrap_phase), xlabel('Time in Sec'), ylabel('Phase in rad'), title('Phase values for 200.01MHz');

Fs = 1200e6;    %Sampling Frequency                                          
T = 1/Fs;       % Clock Period                                               
N = 2^18;       % No. of samples                                             
t = (0:N-1)*T;  % Linear time interval                                       
F = 200.01e6;   % Required Frequency                                         
phase = 2*pi*F*t; % Consecutive Phase values in rad                          
sig = sin(phase); % Time Domain Signal                                       
figure;                                                                      
plot(t, sig), xlabel('Time in Sec'), ylabel('Amp'), title('Time Domain Plot for 200.01MHz');                                                             
wrap_phase = mod(phase, 2*pi);                                               
figure;                                                                      
plot(t,wrap_phase), xlabel('Time in Sec'), ylabel('Phase in rad'),           title('Phase values for 200.01MHz');      

                               
                                                                         

MATLAB Simulation Code; Fs = 1200e6; %Sampling Frequency
T = 1/Fs; % Clock Period
N = 2^18; % No. of samples
t = (0:N-1)T; % Linear time interval
F = 200.01e6; % Required Frequency
phase = 2
piFt; % Consecutive Phase values in rad
sig = sin(phase); % Time Domain Signal
figure;
plot(t, sig), xlabel('Time in Sec'), ylabel('Amp'), title('Time Domain Plot for 200.01MHz');
wrap_phase = mod(phase, 2*pi);
figure;
plot(t,wrap_phase), xlabel('Time in Sec'), ylabel('Phase in rad'), title('Phase values for 200.01MHz');

MATLAB Simulation Code;

Fs = 1200e6;    %Sampling Frequency                                          
T = 1/Fs;       % Clock Period                                               
N = 2^18;       % No. of samples                                             
t = (0:N-1)*T;  % Linear time interval                                       
F = 200.01e6;   % Required Frequency                                         
phase = 2*pi*F*t; % Consecutive Phase values in rad                          
sig = sin(phase); % Time Domain Signal                                       
figure;                                                                      
plot(t, sig), xlabel('Time in Sec'), ylabel('Amp'), title('Time Domain Plot for 200.01MHz');                                                             
wrap_phase = mod(phase, 2*pi);                                               
figure;                                                                      
plot(t,wrap_phase), xlabel('Time in Sec'), ylabel('Phase in rad'),           title('Phase values for 200.01MHz');      

                               
                                                                         
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We are using a 16bit DAC for a waveform generation between to 500MHz with the sampling frequency of 1200MHz. The specification for the waveform generation is 10Hz frequency resolution throughout the band & >60dB SFDR. The spectral performance of the DAC is fine (more than 65dB SFDR) for the frequencies which is satisfying the condition,

Fs/F = Integer

The frequencies which is not satisfying the above condition yields some spurious which is not meeting my SFDR spec. Since the samples of every cycle will not be same, it's creating an envelope over the waveform, due to a phase values repeating itself periodically over a no. of cycle. This envelope causing a spurious. If we generate a frequency of 200.01MHz in MATLAB with 1.2GHz Fs, we can clearly notice the Envelope with periodic time period of 16.65us (60KHz).

The below figures are the MATLAB Time domain plot for 200.01MHz. Time Domain Plot for 200.01MHz with 1.2GHz Fs

With my DAC, I'm getting a spurious at + or - 60KHz and + or - 30KHz apart from my generated frequency(F).

The below image is the DAC output spectrum for 200.01MHz captured with spectrum analyzer.

DAC Output with Spectrum Analyzer

Is the spurious observed is due to the envelope?

MATLAB Simulation Code; Fs = 1200e6; %Sampling Frequency
T = 1/Fs; % Clock Period
N = 2^18; % No. of samples
t = (0:N-1)T; % Linear time interval
F = 200.01e6; % Required Frequency
phase = 2
piFt; % Consecutive Phase values in rad
sig = sin(phase); % Time Domain Signal
figure;
plot(t, sig), xlabel('Time in Sec'), ylabel('Amp'), title('Time Domain Plot for 200.01MHz');
wrap_phase = mod(phase, 2*pi);
figure;
plot(t,wrap_phase), xlabel('Time in Sec'), ylabel('Phase in rad'), title('Phase values for 200.01MHz');

Suggestions are greatly appreciated..

Thanks & Regards

Loganathan N

We are using a 16bit DAC for a waveform generation between to 500MHz with the sampling frequency of 1200MHz. The specification for the waveform generation is 10Hz frequency resolution throughout the band & >60dB SFDR. The spectral performance of the DAC is fine (more than 65dB SFDR) for the frequencies which is satisfying the condition,

Fs/F = Integer

The frequencies which is not satisfying the above condition yields some spurious which is not meeting my SFDR spec. Since the samples of every cycle will not be same, it's creating an envelope over the waveform, due to a phase values repeating itself periodically over a no. of cycle. This envelope causing a spurious. If we generate a frequency of 200.01MHz in MATLAB with 1.2GHz Fs, we can clearly notice the Envelope with periodic time period of 16.65us (60KHz).

The below figures are the MATLAB Time domain plot for 200.01MHz. Time Domain Plot for 200.01MHz with 1.2GHz Fs

With my DAC, I'm getting a spurious at + or - 60KHz and + or - 30KHz apart from my generated frequency(F).

The below image is the DAC output spectrum for 200.01MHz captured with spectrum analyzer.

DAC Output with Spectrum Analyzer

Is the spurious observed is due to the envelope?

Suggestions are greatly appreciated..

Thanks & Regards

Loganathan N

We are using a 16bit DAC for a waveform generation between to 500MHz with the sampling frequency of 1200MHz. The specification for the waveform generation is 10Hz frequency resolution throughout the band & >60dB SFDR. The spectral performance of the DAC is fine (more than 65dB SFDR) for the frequencies which is satisfying the condition,

Fs/F = Integer

The frequencies which is not satisfying the above condition yields some spurious which is not meeting my SFDR spec. Since the samples of every cycle will not be same, it's creating an envelope over the waveform, due to a phase values repeating itself periodically over a no. of cycle. This envelope causing a spurious. If we generate a frequency of 200.01MHz in MATLAB with 1.2GHz Fs, we can clearly notice the Envelope with periodic time period of 16.65us (60KHz).

The below figures are the MATLAB Time domain plot for 200.01MHz. Time Domain Plot for 200.01MHz with 1.2GHz Fs

With my DAC, I'm getting a spurious at + or - 60KHz and + or - 30KHz apart from my generated frequency(F).

The below image is the DAC output spectrum for 200.01MHz captured with spectrum analyzer.

DAC Output with Spectrum Analyzer

Is the spurious observed is due to the envelope?

MATLAB Simulation Code; Fs = 1200e6; %Sampling Frequency
T = 1/Fs; % Clock Period
N = 2^18; % No. of samples
t = (0:N-1)T; % Linear time interval
F = 200.01e6; % Required Frequency
phase = 2
piFt; % Consecutive Phase values in rad
sig = sin(phase); % Time Domain Signal
figure;
plot(t, sig), xlabel('Time in Sec'), ylabel('Amp'), title('Time Domain Plot for 200.01MHz');
wrap_phase = mod(phase, 2*pi);
figure;
plot(t,wrap_phase), xlabel('Time in Sec'), ylabel('Phase in rad'), title('Phase values for 200.01MHz');

Suggestions are greatly appreciated..

Thanks & Regards

Loganathan N

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