Abstract: This calculator provides a quick and easy way to select sinusoidal input test tones for the test of analog-to-digital (ADC) converters. Based on the theory of coherent sampling, the calculator allows a user to chose input and sampling frequencies as well as number of integer cycles within the sampling window and the resoluTIon (number of data point) of the FFT.
When evaluaTIng the dynamic performance of analog-to-digital converters (ADCs) using Fast Fourier Transforms (FFTs), one must decide whether to use coherent sampling or window sampling. Maxim's applicaTIon note "Coherent Sampling vs. Window Sampling" details the advantages and disadvantages of each sampling technique, but, in general, coherent sampling produces the best quality in high-resoluTIon FFTs.
The purpose of coherent sampling is to force an integer number of input cycles within the sampling window. Figure 1 shows several examples of coherent sampling in the time domain.
Figure 1a.
Figure 1b.
Figure 1c.
Figure 1d.
Figure 1a-d. Coherently sampled data contains an integer number of cycles within the sampling window. These figures show four sets of coherently sampled data. Each data set has 13 cycles within the sampling window and contains 64 data points. NWINDOW = 13, NRECORD = 64
Mathematically, coherent sampling is expressed as:
where: fIN is the input frequency of the ADC under test. fSAMPLE is the sampling frequency of the ADC under test. NWINDOW is the integer number of cycles within the sampling window. This value must be an odd or prime number. NRECORD is the number of data points used to create your FFT. This value must be a power of 2. Finding an fIN and an fSAMPLE that satisfy the above relationship is an iterative process. An Excel spreadsheet titled "Coherent Sampling Calculator" is available for download to simplify the process. Alternatively, a simplified web-based version of the Coherent Sampling Calculator is available.
The "Coherent Sampling Calculator" requires four input variables: fDSAMPLE is the desired sampling frequency of the ADC under test. FDIN is the desired input frequency of the ADC under test. NRECORD is the number of data points used to create your FFTs. This value must be a power of 2. SIGFIG is the desired number of significant figures after MHz in the coherent sampling results. From the four variables listed above the "Coherent Sampling Calculator" will provide a coherent sampling frequency (fCSAMPLE) and input frequency (fCIN) .
The Coherent Sampling Calculator includes a macro that allows the user to view the detailed intermediate steps of the calculation process. By default, the spreadsheet is set to hide these detailed calculations, however by clicking the "Show_Detailed_Calculations" button the user can get additional information such as the size of the coherent sampling window (tCWINDOW) and the number of input cycles in the coherent sampling window (NCWINDOW).
Figures 2-3 show examples of coherently sampled FFTs taken using the coherent sampling calculator and the MAX1211EVKIT.
Figure 2. Coherently sampled FFT from the MAX1211EVKIT.
fCIN = 20.0031266MHz
fCSAMPLE = 65.0002432MHz
NCWINDOW = 2521
NRECORD = 8192
Figure 3. Coherently sampled FFT from the MAX1211EVKIT.
fCIN = 32.1271954MHz
fCSAMPLE = 65.0002432MHz
NCWINDOW = 4049
NRECORD = 8192
When evaluaTIng the dynamic performance of analog-to-digital converters (ADCs) using Fast Fourier Transforms (FFTs), one must decide whether to use coherent sampling or window sampling. Maxim's applicaTIon note "Coherent Sampling vs. Window Sampling" details the advantages and disadvantages of each sampling technique, but, in general, coherent sampling produces the best quality in high-resoluTIon FFTs.
The purpose of coherent sampling is to force an integer number of input cycles within the sampling window. Figure 1 shows several examples of coherent sampling in the time domain.
Figure 1a.
Figure 1b.
Figure 1c.
Figure 1d.
Figure 1a-d. Coherently sampled data contains an integer number of cycles within the sampling window. These figures show four sets of coherently sampled data. Each data set has 13 cycles within the sampling window and contains 64 data points. NWINDOW = 13, NRECORD = 64
Mathematically, coherent sampling is expressed as:
where: fIN is the input frequency of the ADC under test. fSAMPLE is the sampling frequency of the ADC under test. NWINDOW is the integer number of cycles within the sampling window. This value must be an odd or prime number. NRECORD is the number of data points used to create your FFT. This value must be a power of 2. Finding an fIN and an fSAMPLE that satisfy the above relationship is an iterative process. An Excel spreadsheet titled "Coherent Sampling Calculator" is available for download to simplify the process. Alternatively, a simplified web-based version of the Coherent Sampling Calculator is available. The "Coherent Sampling Calculator" requires four input variables: fDSAMPLE is the desired sampling frequency of the ADC under test. FDIN is the desired input frequency of the ADC under test. NRECORD is the number of data points used to create your FFTs. This value must be a power of 2. SIGFIG is the desired number of significant figures after MHz in the coherent sampling results. From the four variables listed above the "Coherent Sampling Calculator" will provide a coherent sampling frequency (fCSAMPLE) and input frequency (fCIN) .
The Coherent Sampling Calculator includes a macro that allows the user to view the detailed intermediate steps of the calculation process. By default, the spreadsheet is set to hide these detailed calculations, however by clicking the "Show_Detailed_Calculations" button the user can get additional information such as the size of the coherent sampling window (tCWINDOW) and the number of input cycles in the coherent sampling window (NCWINDOW).
Figures 2-3 show examples of coherently sampled FFTs taken using the coherent sampling calculator and the MAX1211EVKIT.
Figure 2. Coherently sampled FFT from the MAX1211EVKIT.
fCIN = 20.0031266MHz
fCSAMPLE = 65.0002432MHz
NCWINDOW = 2521
NRECORD = 8192
Figure 3. Coherently sampled FFT from the MAX1211EVKIT.
fCIN = 32.1271954MHz
fCSAMPLE = 65.0002432MHz
NCWINDOW = 4049
NRECORD = 8192
15V Switching wall charger: The adapter plug size is 5.5x2.5mm, this plug is only suitable for devices with a plug size of 5.5x2.5mm or 5.5x2.1mm. (Please note that the plug sizes of some devices are 3.5x1.35mm, 4.0x1.7mm, 4.8x1.7mm, this adapter is not suitable for devices with these plug sizes, unless you use a conversion plug , please pay attention to the plug size before purchasing).
15V Switching wall charger Power Supply: The DC power cord is about 1.2/1.5m long, pay attention to the length of the DC cable, make sure it's long enough to connect the power supply and your device, make sure it's the length you want.
15V Switching wall charger power product features: 100% full load aging, overvoltage, overcurrent, overload, overcharge protection, long working time, quality assurance.
DC 15V Switching wall charger adapter widely used in: LED lighting, LED lamps, LED series, security monitoring, communication equipment, medical equipment, etc.
30 days refund and 1 year warranty, our designated team will support our products in any way, so if you have any questions about our products, you can contact us at any time by email, we will reply you within 24 hours , And solve the problem for you.
15v wall charger,15 Watt Power Supply,15v ac dc adapter,AC Wall Charger Power Adapter,AC/DC Charger Power Supply Switching Adapter,DC 15V Global AC / DC Adapter,15VDC Power Supply Cord Cable Wall Charger,15VDC800 Charger PSU
Shenzhen Waweis Technology Co., Ltd. , https://www.waweispowerasdapter.com