Case Study – Linear Analysis

Measurement-aided Doherty amplifier design - chapter 7

Digital Doherty linear analysis
Digital Doherty linear analysis

Plots of two important parameters (efficiency at a fixed, interpolated, output power, and saturated output power) are presented at two different frequencies.

While efficiency and saturated power are often the two most important performance metrics, The plots of measured data show that the best performance does not coincide at constant amplitude and phase difference values.

Optimum values for amplitude/phase split are pretty much unique, at different frequencies and for the different parameters.

Results

First step
First step

First step

This simple first step already provides information and insight that was hitherto unavailable. At the two test frequencies, it is clear that both saturated output power and energy efficiency, cannot simultaneously be maximized using the conventional constant phase-amplitude input split. Even worse, for the amplitude and phase input differentials at which those maxima occur, the other three parameters are located on steep rate-of-change slopes. Luckily, alternative implementations are possible.

Parameter sensitivity
Parameter sensitivity

Parameter sensitivity

At this point, the engineer has visibility of at least three different solutions – the fixed input split (often with phase offset), the programmable input split, and the dispersive input split. Then, in another post-processing step, we can simulate industrial efficancy; that is to say, how sensitive the performance parameters are to variations in parameters.This simulation was performed by creating normally distributed random values for the amplitude and phase. This population of values was stored to enable replication in other experiments

Value extraction
Value extraction

Value extraction

Using the measurement database as a look-up-table (LUT), values for efficiency and saturated output power were extracted. These can now be parametrically plotted, to demonstrate the spread in those parameters at the low- and high- frequencies.

Worst case
Worst case

Worst case

By further taking the worst case value for each instance, a statistical spread of performance can be extracted and an exemplary specification, supported by analysis can be written.

Amplitude and phase variation
Amplitude and phase variation

Amplitude and phase variation

Next consider the case whereby different amplitude and phase values are used for the two frequencies. This replicates the scenario whereby either dispersive split, or programmable split is implemented.

Maximum efficiency operation
Maximum efficiency operation

Maximum efficiency operation

Again, as Doherty is intended to be an efficiency enhancement technique, nominal values were chosen that gave maximum efficiency operation (but also constrained by a limit on the amplitude offset). It is interesting to note that the optimum phase required to extract that maximum efficiency, is some 30-40 degrees apart across the frequency band, and is not a constant value.

Improved worst case
Improved worst case

Improved worst case

Repeating the exercise to extract the predicted industrial spread of efficiency and saturated power yields a much better result for the worst case efficiency.

Thus, the designer now has illumination of their design capability – even better, is armed with at least three different cost-performance paradigms.

Ask the expert

Gareth Lloyd

Gareth Lloyd

Gareth Lloyd graduated from the University of Leeds in 1994 with a degree in Electronic & Electrical Engineering. Gareth has worked in various engineering and management roles, in different industries, for major companies including Ericsson, Huawei, ZTE, TriQuint and Andrew Corporation. Gareth joined Rohde & Schwarz in 2015, as a Senior Expert. His primary work focus is performance differentiated radio front-ends (RFFE).

Ask Gareth

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