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5989-3144EN


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Agilent
8 Hints for Making and Interpreting
EVM Measurements

Application Note




Introduction                            Defining EVM
Error vector magnitude (EVM)            The error vector is the vector dif-
measurements can provide a great        ference at a given time between
deal of insight into the perfor-        the ideal reference signal and
mance of digital communications         the measured signal. Expressed
transmitters and receivers. With        another way, it is the residual
proper use, EVM and related mea-        noise and distortion remaining
surements can pinpoint exactly          after an ideal version of the signal
the type of degradations present        has been stripped away. EVM is
in a signal and can even help           the root-mean-square (RMS) value
identify their sources.                 of the error vector over time at
                                        the instants of the symbol (or
Primarily a measure of signal           chip) clock transitions.
quality, EVM provides both a sim-
ple, quantitative figure-of-merit
for a digitally modulated signal,
and a far-reaching methodology
for uncovering and attacking
the underlying causes of signal
impairments and distortion. EVM
measurements are growing rapid-
ly in acceptance, being already
the required modulation quality
measurement in such important
technology standards as 3GPP
W-CDMA and IEEE 802.11a/b/g
WLAN, and they are poised to
appear in several upcoming
standards.

This application note provides
useful tips that will assist in accu-
rately making and understanding
EVM measurements.
Depending on the technology, EVM                                 The magnitude of the error vec-                                    The spectrum of the error vec-
is reported as a percentage of the                               tor versus time measurement                                        tor (or error vector spectrum)
square root of the mean power of                                 shows the error vector magni-                                      is the frequency spectrum of
the ideal signal, as a percentage of                             tude variations as a signal                                        the error vector time.
the square root of the average sym-                              changes over time--that is, at
bol power, or as a percentage of                                 and between symbol decision                                        The EVM troubleshooting tree
the peak signal level, usually                                   timing points.                                                     shown in Figure 2 is a useful
defined by the constellation's cor-                                                                                                 tool for analyzing vector modu-
ner states. The EVM value can                                                                                                       lated signals with EVM mea-
also be reported in units of dB and                                                                                                 surements.
some wireless networking stan-
dards use the term
"relative constellation error"
(RCE) instead of EVM.                                                                         EVM troubleshooting tree

While the error vector has a phase                                                                        Measurement 1
value associated with it, this angle                                                                    phase vs. mag error
generally turns out to be random,
because it is a function of both the
error itself (which may or may not                                                       phase error >> mag error                   phase error  mag error
be random) and the position of the
data symbol on the constellation                                                          Measurement 2                                Measurement 3
(which, for all practical purposes,                                                    IQ error phase vs.time                           constellation
is random). A more useful angle is                                                      waveshapes                                            asymmetric
                                                                    Residual PM                                                                                    I-Q imbalance


                                                                                                                    symmetrical
measured between the actual and
ideal phasors (I-Q error phase or
phase error), which contains infor-                                                        noise                                                 tilted             Quadrature
                                                                    Phase noise
mation useful in troubleshooting                                                                                                                                      error
signal problems. Likewise, I-Q                                                                                                         Measurement 4
error magnitude, or magnitude                                                                                                           EVM vs. time
error, shows the magnitude differ-                                                                                                            error peaks          Amplitude
                                                                                                                    uniform noise




ence between the actual and ideal                                                                                                                                 non-linearity
signals.
                                                                                                                                          (setup problem clues)
                                                                                                                                                                  Setup problems

     Magnitude error (IQ error mag)                                                                                                    Measurement 5
Q
                                                                                                                                       error spectrum
                                              Error vector                                                                                  discrete signals
                                                                                                                                                                    Spurious
                                                                                                                     flat noise
                       l
                     na
                  sig
                   d
                ure




                                                                                                                                              sloping noise         Adj. chan.
             as




                                        nal
           Me




                                     sig
                                                                                                                                                                   interference
                                 ce)
                              ren                                                                                                      Measurement 6
                          refe
                      al (                                                                                                             freq response
                   Ide
                                                                                                                                            distorted shape
                           Phase error (IQ error phase)                                                                                                           Filter distortion
                                                             I

Figure 1. Error vector magnitude (EVM) and related
quantities                                                                                                                                        flat
                                                                                                                                                                  SNR problems



                                                                 Figure 2. Flow chart for analyzing vector modulated signals with EVM measurements




                                                                                                                                                                                      2
Hint #1

EVM and the various related    EVM and the various related dis-
                               plays, I/Q constellation, I/Q polar
measurement displays are       or vector diagram, magnitude of
sensitive to any signal flaw   the error vector versus time, the
                               spectrum of the error vector (error
that affects the magnitude     vector spectrum), I/Q error phase
and phase trajectory of a      versus time, and I/Q error magni-
signal for any digital         tude versus time, etc are sensitive
                               to any signal flaw that affects the
modulation format.             magnitude and phase trajectory of
                               a signal for any digital modulation
                               format. Large error vectors, both at
                               the symbol points and at the tran-
                               sitions between symbols, can be
                               caused by problems at the base-
                               band, IF or RF sections of the
                               transmitter. Different modulation
                               quality displays and tools can help
                               reveal or troubleshoot various
                               problems in the transmitter. For
                               instance, the I/Q constellation can
                               be used to easily identify I/Q gain
                               imbalance errors. Small symbol
                               rate errors can be easily identified
                               by looking at the magnitude of the
                               error vector versus time display.
                               The error vector spectrum can
                               help locate in-channel spurious.




                                                                      3
Hint #2

Measurements of EVM to quantify the errors in digital
demodulation can provide powerful insight into the
performance of a digital radio receiver.
BER is the preferred measure-          In addition, the steep slope of                              10



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