Training: Fundamentals of Mixed Signal Testing:
Course Outline

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Digital Signals

  Topics

  • Two signal levels
  • Information storage with digital signals
  • Serial and parallel data
  • Other uses for digital signals
  • Control signals
  • Number storage
  • Digital Devices
  • Digital Test Systems
  • Functional testing
  • Logic Levels
  • Parametric Testing
  • DC Measurements
  • AC Measurements
  • Vector Sequencing
     

Analog Signals

  Topics

  • Infinite signal levels
  • The Time aspect of analog signals
  • Analog Circuitry
     

Analog Test Systems

  Topics

  • "Rack and Stack"
  • Traditional Analog ATE
  • Mixed signal devices
     

Mixed Signal Test Systems

  Topics

  • Waveform Digitizer
  • Information Loss When Digitizing
  • Truncation Error
  • Quantization Error
  • Slew Rate Error
  • Jitter Error
  • Waveform Generator
  • Digital Signal Processor
     

The Mathematics Behind DSP

  Topics

  • Introduction
  • Logarithms and exponents
  • Logarithm bases and uses
  • Common log
  • Natural log
  • Log base 2
  • Properties of logarithms
  • Decibels (dB)
  • Time and Frequency
  • Periodic Motion
  • Rotating vector
  • Converting angle q to frequency and time
  • RMS value of a sinusoid
  • Phase and the cosine function
  • Time to frequency translation
  • Frequency domain plot of DC
  • Frequency domain plot of a sine wave
  • Frequency domain plot of an impulse
  • Fourier series
  • Dirichlet conditions
  • Calculating the sine and cosine components
  • Complex numbers
  • The j operator
  • The complex plane
  • Conversion between polar and rectangular
     

Creating, Taking and Processing Samples

  Topics

  • Limits of Sampling
  • Shannon's theorem
  • Nyquist's theorem
  • Periodicity
  • What does a sample set represent?
  • Converting a time sample set to frequency
  • Discrete Fourier transform (DFT)
  • Fast Fourier transform (FFT)
  • Spectral replication and aliasing
  • Replication
  • Aliasing
  • Prevention of aliasing errors
  • Leakage
  • Incomplete sample set
  • Time sample windowing
  • Coherent Sampling
  • What is coherent sampling?
  • Why sample coherently?
  • Coherency relationships
  • Fs, N, Ft and M
  • UTP, Fourier Frequency, frequency bins and resolution
  • Mutually prime N and M assures unique sample points
  • Converting frequency data to time samples
  • The Inverse FFT (IFFT) algorithm
  • Uses for the IFFT
  • Limitations of using the IFFT
     

Specifications of Analog and Digital Devices

  Topics

  • Digital Device Specifications
  • Analog Circuit Specifications
  • Op Amp specifications
  • VIO—Input offset voltage
  • IIB—Input bias current
  • IIO—Input offset current
  • CMRR—Common mode rejection ratio
  • PSRR—Power supply rejection ratio
  • GBW—Gain bandwidth
  • THD—Total harmonic distortion
  • Noise
  • SR—Slew rate
  • ts—Settling Time
  • Comparator Specifications
  • Response Time
  • Filter Specifications
  • Bandwidth (BW)
  • Quality Factor (Q)
  • Center Frequency (f0)
  • Settling time
     

Mixed Signal Device Specifications

  Topics

  • D/A Converter Specifications
  • Full scale range
  • Offset error
  • Gain error
  • LSB size
  • Differential nonlinearity
  • Monotonic
  • Integral nonlinearity
  • Accuracy
  • Total harmonic distortion (THD)
  • Signal to noise ratio (SNR)
  • Maximum conversion rate
  • Settling time
     

A/D Converter Specifications

  Topics

  • Full scale range
  • Offset error
  • Gain error
  • LSB size
  • Differential nonlinearity
  • No missing codes
  • Integral nonlinearity
  • Accuracy
  • Total harmonic distortion (THD)
  • Signal to noise ratio (SNR)
  • Conversion time
  • Aperture time
  • Aperture jitter
  • Transition Noise
     

Calculation of SINAD, SNR, THD and IM

  Topics

  • Signal to Noise and Distortion (SINAD or SNDR)
  • Total Harmonic Distortion (THD)
  • Signal to Noise Ratio (SNR)
  • Intermodulation Distortion (IM)
     

Digital to Analog Converter Static Parameters

  Topics

  • Measuring offset and gain errors
  • Offset Error
  • Attenuation is your friend
  • Gain Error
  • Measuring DNL and INL
  • Making one DNL measurement
  • Making all DNL measurements
  • The DNL Test
  • Testing for INL
  • Considerations for testing DACs with an LSB < 5mV
  • Temperature Effects
  • Reference Signal
  • Internal Reference
  • External Reference
  • Current vs. voltage output
  • Averaging and repeatability
  • Synchronization Issues
     

Analog to Digital Converter Static Parameters

  Topics

  • Unique ADC testing problems
  • Transitions, zero scale, full scale and LSB size
  • Measuring transition points
  • Using a D/A to step the ADC input
  • Using an integrator loop
  • Using an intelligent feedback loop
  • The digital side of ADC testing
  • Offset error
  • Gain error
  • DUT noise, system noise and averaging
  • DUT noise
  • System noise
  • DNL and INL test methods
  • Finding the "center of code"
  • Static DNL
  • Static INL
  • Histogram ADC test methods
  • Ramp histogram
  • Sine histogram
     

Digital to Analog Converter Dynamic Parameters

  Topics

  • Measuring SINAD, THD, SNR, IM
  • Generating the DUT output signal
  • Calculating the desired output signal as an array of points
  • Using sine wave equation
  • Using Inverse FFT
  • What to do with the list of codes
  • Filtering the output signal
  • Using a Waveform Digitizer to capture the DAC output
  • Conditioning the analog signal for the waveform digitizer
  • Digitizing the (filtered) analog signal
  • Calculating the result parameters
  • Creating a Spectrum Graph
  • Synchronization Issues
     

Analog to Digital Converter Dynamic Parameters

  Topics

  • Dynamic parameters
  • Creating an input signal
  • Adjusting for zero and full scale
  • Input signal purity filtering
  • Input signal anti–aliasing
  • Capturing the digital output data
  • Acquiring and holding the input signal
  • An ADC with no track and hold
  • Adding track and hold
  • Dynamic impedance problems
  • Coherent sampling revisited
  • Normal sampling
  • Undersampling
  • SINAD, THD, SNR and IM
  • DUT noise, system noise and averaging
  • Effective Number Of Bits (ENOB)
     

Summary of General Test Issues

  Topics

  • The Biggest Problem in Mixed Signal Test Development
  • Does the measurement reflect the conditions of the DUT or the test system?
  • Look for the obvious errors first
  • There’s no such thing as ground!
  • Amplifiers amplify noise too
  • Capacitance is generally your enemy, and it’s always there
  • Friendly capacitance—power supply decoupling
  • The test system must be 10 times better than the DUT
  • The DUT power supply can cause measurement errors
  • Unexpected things can affect measurement results
  • Location of the tester’s earth ground connection
  • An ungrounded DUT package case
  • External noise from RF or magnetic sources
  • Light
  • Humidity
     

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