Ctle Peaking Calculator

Evaluate explicit normalized single-zero/two-pole CTLE small-signal transfer at actual caller frequencies relative to DC, not a universal equalizer setting or eye/BER guarantee.

Description

A normalized single-zero/two-pole CTLE transfer expresses frequency gain relative to DC.

A normalized single-zero/two-pole CTLE transfer expresses frequency gain relative to DC. Pole and zero choices are caller parameters.1

Enter nonnegative query frequencies and positive zero/two-pole frequencies. Use log 1 p terms; return gain dB in query order, with zero at DC; empty queries are allowed.

When to use Ctle Peaking Calculator

Use Ctle Peaking Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No universal equalizer setting, nonlinear behavior or eye/BER guarantee is supplied.

Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.

How to use Ctle Peaking Calculator and understand its results

  1. Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
  2. Enter queryFrequenciesHz, zeroFrequencyHz, firstPoleFrequencyHz, secondPoleFrequencyHz using the field table and calculation rules, then run the tool.
  3. Read relativeToDcGainDb. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
queryFrequenciesHzQuery frequencies hzlist of numberRequired
zeroFrequencyHzZero frequency hznumberRequired
firstPoleFrequencyHzFirst pole frequency hznumberRequired
secondPoleFrequencyHzSecond pole frequency hznumberRequired

Enter nonnegative query frequencies and positive zero/two-pole frequencies. Use log 1 p terms; return gain dB in query order, with zero at DC; empty queries are allowed.

gainDb=10log10((1+(f/fz)²)/((1+(f/fp1)²)(1+(f/fp2)²)))

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
relativeToDcGainDbRelative to dc gain dblist of number
json
{
  "input": {
    "queryFrequenciesHz": [
      0,
      100
    ],
    "zeroFrequencyHz": 100,
    "firstPoleFrequencyHz": 1000,
    "secondPoleFrequencyHz": 1000
  },
  "output": {
    "relativeToDcGainDb": [
      0,
      2.92387248098696
    ]
  }
}

Limitations and assumptions

No universal equalizer setting, nonlinear behavior or eye/BER guarantee is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Ffe Tap Weight Calculator: A finite causal zero-forcing FFE inverts the leading channel response. Truncation leaves a residual tail. For a complementary task, use Dfe Tap Weight Calculator: Ideal additive DFE weights cancel observed postcursor interference relative to a main cursor. Correct past decisions are assumed.

References

  1. Ctle Peaking Calculator — tool.io

Similar or alternative tools

  • Ffe Tap Weight Calculator

    A finite causal zero-forcing FFE inverts the leading channel response. Truncation leaves a residual tail.

  • Dfe Tap Weight Calculator

    Ideal additive DFE weights cancel observed postcursor interference relative to a main cursor. Correct past decisions are assumed.

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