## E.5 EVM and inband emissions for PUCCH

36.521-13GPPEvolved Universal Terrestrial Radio Access (E-UTRA)Part 1: Conformance testingRadio transmission and receptionRelease 17TSUser Equipment (UE) conformance specification

For the purpose of worst case testing, the PUCCH shall be located on the edges of the Transmission Bandwidth Configuration (6,15,25,50,75,100 RBs).

The EVM for PUCCH (EVM_{PUCCH}) is averaged over 20 slots. At least 20 TSs shall be transmitted by the UE without power change. SRS multiplexing shall be avoided during this period. The following transition periods are applicable: One OFDM symbol on each side of the slot border (instant of band edge alternation).

The description below is generic in the sense that all 6 PUCCH formats are covered. Although the number of OFDM symbols in one slot is 6 or 7 (depending on the cyclic prefix length), the text below uses 7 without excluding 6.

## E.5.1 Basic principle

The basis principle is the same as described in E.2.1

## E.5.2 Output signal of the TX under test

The output signal of the TX under test is processed same as described in E.2.2

## E.5.3 Reference signal

The reference signal is defined same as in E.2.3. Same as in E.2.3, i_{1}(ν) is the ideal reference for EVM_{PUCCH} and i_{2}(ν) is used to estimate the FFT window timing.

Note PUSCH is off during the PUCCH measurement period.

## E.5.4 Measurement results

The measurement results are:

– EVM_{PUCCH}

– Inband emissions with the sub-results: General in-band emission, IQ image (according to: 36.101. Annex F.4, Clause starting with: “At this stage the ….”)

## E.5.5 Measurement points

The measurement points are illustrated in the figure below:

Figure E.5.5-1

## E.5.6 Pre FFT minimization process

The pre FFT minimisation process is the same as describes in clause E.3.1.

NOTE: although an exclusion period for EVM_{PUCCH} is applicable in E.5.9.1, the pre FFT minimisation process is done over the complete slot.

RF error, and carrier leakage are necessary for best fit of the measured signal towards the ideal signal in the pre FFT domain. However they are not used to compare them against the limits.

## E.5.7 Timing of the FFT window

Timing of the FFT window is estimated with the same method as described in E.3.2.

## E.5.8 Post FFT equalisation

The post FFT equalisation is described separately without reference to E.3.3:

Perform 7 FFTs on z’(ν), one for each OFDM symbol in a slot using the timing , including the demodulation reference symbol. The result is an array of samples, 7 in the time axis t times 2048 in the frequency axis f. The samples represent the OFDM symbols (data and reference symbols) in the allocated RBs and inband emissions in the non allocated RBs within the transmission BW.

Only the allocated resource blocks in the frequency domain are used for equalisation.

The nominal reference symbols and **nominal** OFDM data symbols are used to equalize the measured data symbols.

Note: (The nomenclature inside this note is local and not valid outside)

The nominal OFDM data symbols are created by a demodulation process. A demodulation process as follows is recommended:

1. Equalize the measured OFDM data symbols using the reference symbols for equalisation. Result: Equalized OFDM data symbols

2. Decide for the nearest constellation point, however not independent for each subcarrier in the RB. 12 constellation points are decided dependent, using the applicable CAZAC sequence. Result: Nominal OFDM data symbols

At this stage we have an array of Measured data-Symbols and reference-Symbols (MS(f,t))

versus an array of Nominal data-Symbols and reference Symbols (NS(f,t))

The arrays comprise in sum 7 data and reference symbols, depending on the PUCCH format, in the time axis and the number of allocated sub-carriers in the frequency axis.

MS(f,t) and NS(f,t) are processed with a least square (LS) estimator, to derive one equalizer coefficient per time slot and per allocated subcarrier. EC(f)

With * denoting complex conjugation.

EC(f) are used to equalize the OFDM data together with the demodulation reference symbols by:

Z’(f,t) = MS(f,t) ** ^{.}** EC(f)

With ** ^{.}** denoting multiplication.

Z’(f,t) is used to calculate EVM_{PUCCH}, as described in E.5.9 1

NOTE: although an exclusion period for EVM_{PUCCH} is applicable in E.5.9.1, the post FFT minimisation process is done over 7 OFDM symbols.

The samples of the non allocated resource blocks within the transmission bandwidth configuration in the post FFT domain are called Y(f,t) (f covering the non allocated subcarriers within the transmission bandwidth configuration, t covering the OFDM symbols during 1 slot).

## E.5.9 Derivation of the results

### E.5.9.1 EVM_{PUCCH}

For EVM_{PUCCH} create two sets of Z’(f,t)., according to the timing ” –W/2 and +W/2” using the equalizer coefficients from E.5.8

The EVM_{PUCCH} is the difference between the ideal waveform and the measured and equalized waveform for the allocated RB(s)

,

where

the OFDM symbols next to slot boarders (instant of band edge alternation) are excluded:

t covers less than the count of demodulated symbols in the slot (|T|= 5)

f covers the count of subcarriers within the allocated bandwidth. (|F|=12)

are the samples of the signal evaluated for the EVM_{PUCCH}

is the ideal signal reconstructed by the measurement equipment, and

is the average power of the ideal signal. For normalized modulation symbols is equal to 1.

From the acquired samples 40 EVM_{PUCCH} value can be derived, 20 values for the timing –W/2 and 20 values for the timing +W/2

### E.5.9.2 Averaged EVM_{PUCCH}

EVM_{PUCCH} is averaged over all basic EVM_{PUCCH} measurements

For subslot TTI, The averaging comprises 60 UL subslots (for frame structure 2: excluding special fields(UpPTS)) for PUCCH, PUSCH, PDSCH.

For subframe/slot TTI, the averaging comprises 20 UL slots (for frame structure 2: excluding special fields(UpPTS))

The averaging is done separately for timing¦ –W/2 and +W/2 leading to and

is compared against the test requirements.

### E.5.9.3 In-band emissions measurement

The in-band emissions are a measure of the interference falling into the non-allocated resources blocks

Create one set of Y(t,f) per slot according to the timing “”

For the non-allocated RBs the in-band emissions are calculated as follows

,

where

the upper formula represents the inband emissions below the allocated frequency block and the lower one the inband emissions above the allocated frequency block.

* *is a set of OFDM symbols in the measurement period,

is the starting frequency offset between the allocated RB and the measured non-allocated RB (e.g. for the first upper or for the first lower adjacent RB),

and are the lower and upper edge of the UL system BW,

and are the lower and upper edge of the allocated BW,

is 15kHz,and

is the frequency domain signal evaluated for in-band emissions as defined in the subsection E.5.8

The relative in-band emissions are, given by

where

is the number of allocated RBs, which is always 1 in case of PUCCH

and is the frequency domain samples for the allocated bandwidth, as defined in the subsection E.5.8

Although an exclusion period for EVM is applicable in E.5.9.1, the inband emissions measurement interval is defined over one complete slot in the time domain.

From the acquired samples 20 functions for inband emissions can be derived.

Since the PUCCH allocation is always on the upper or lower band-edge, the opposite of the allocated one represents the IQ image, and the remaining inner RBs represent the general inband emissions. They are compared against different limits.