[BetterBatteryStats] DaKiller147:
Problem is present in the last year and a half across 3 different carriers while reception is both excellent and really bad.

Also, tried to physically disconnect the antenna part from the phone and test it, same thing.

Here is a 2 minute log of the phone with no SIM card and google play frozen (as a precaution):

===================
General Information
===================
BetterBatteryStats version: 1.15.0.0
Creation Date: 2014-02-09 19:48:54
Statistic Type: Unplugged to Current
Since 1 m 56 s
VERSION.RELEASE: 4.4.2
BRAND: Samsung
DEVICE: GT-I9100
MANUFACTURER: samsung
MODEL: GT-I9100
OS.VERSION: 3.0.64-CM-g992f0e8
BOOTLOADER: unknown
HARDWARE: smdk4210
FINGERPRINT: samsung/GT-I9100/GT-I9100:4.1.2/JZO54K/I9100XWMS2:user/release-keys
ID: KOT49H
TAGS: test-keys
USER: jenkins
PRODUCT: GT-I9100
RADIO: I9100XXMS4
Rooted: true
============
Battery Info
============
Level lost [%]: Bat.: -1% (10% to 9%) [33.3%/h]
Voltage lost [mV]: (3582-3310) [9066.7%/h]
===========
Other Usage
===========
Screen On (): 1 m 10 s (70 s) Ratio: 60.5%
Wifi On (): 1 m 56 s (116 s) Ratio: 100.0%
Wifi Running (): 1 m 56 s (116 s) Ratio: 100.0%
Awake (): 1 m 56 s (116 s) Ratio: 100.0%
=========
Wakelocks
=========
RILJ (0): 1 m 36 s (96 s) Count:0 82.1%
AudioMix (0): 11 s (11 s) Count:15 9.4%
BBS_WAKELOCK_WHILE_SAVING_REF (com.asksven.betterbatterystats_xdaedition.BetterBatteryStats): 3 s (3 s) Count:2 2.6%
GpsLocationProvider (0): 1 s (1 s) Count:3 0.9%
ActivityManager-Launch (0): 1 s (1 s) Count:4 0.9%
show keyguard (UID): 1 s (1 s) Count:54 0.3%
================
Kernel Wakelocks
================
"gps-lock" (): 45 s (45 s) Cnt:(c/wc/ec)1/0/0 39.3%
"PowerManagerService.WakeLocks" (): 45 s (45 s) Cnt:(c/wc/ec)0/0/0 39.3%
"umts_ipc0" (): 4 s (4 s) Cnt:(c/wc/ec)22/0/23 4.0%
"radio-interface" (): 4 s (4 s) Cnt:(c/wc/ec)9/0/0 3.5%
"l2_hsic" (): 2 s (2 s) Cnt:(c/wc/ec)24/0/24 2.4%
"wlan_rx_wake" (): 1 s (1 s) Cnt:(c/wc/ec)21/0/22 1.3%
"rpm_hsic" (): (0 s) Cnt:(c/wc/ec)53/0/0 0.2%
"PowerManagerService.Broadcasts" (): (0 s) Cnt:(c/wc/ec)2/0/0 0.5%
"wlan_wd_wake" (): (0 s) Cnt:(c/wc/ec)483/0/0 0.1%
"secril_fmt-interface" (): (0 s) Cnt:(c/wc/ec)357/0/0 0.0%
"wlan_wake" (): (0 s) Cnt:(c/wc/ec)1015/0/0 0.0%
"sync_system" (): (0 s) Cnt:(c/wc/ec)1/0/0 0.0%
"tx_hsic" (): (0 s) Cnt:(c/wc/ec)1040/0/0 0.0%
"alarm" (): (0 s) Cnt:(c/wc/ec)20/0/0 0.0%
"KeyEvents" (): (0 s) Cnt:(c/wc/ec)797/0/0 0.0%
"PowerManagerService.Display" (): (0 s) Cnt:(c/wc/ec)1/0/0 0.0%
"sec-battery-monitor" (): (0 s) Cnt:(c/wc/ec)11/0/0 0.0%
=========
Processes
=========
com.asksven.betterbatterystats_xdaedition (com.asksven.betterbatterystats_xdaedition.BetterBatteryStats): Uid: 10156 Sys: 1 s (1 s) Us: 15 s (15 s) Starts: 0
system_server (Android System): Uid: 1000 Sys: 2 s (2 s) Us: 6 s (6 s) Starts: 0
surfaceflinger (Android System): Uid: 1000 Sys: 3 s (3 s) Us: 3 s (3 s) Starts: 0
com.android.systemui (UID): Uid: 10008 Sys: (0 s) Us: 3 s (3 s) Starts: 0
*wakelock* (Phone): Uid: 1001 Sys: 1 s (1 s) Us: 1 s (1 s) Starts: 0
mmcqd/0 (0): Uid: 0 Sys: 1 s (1 s) Us: (0 s) Starts: 0
com.anddoes.launcher (com.anddoes.launcher.Apex Launcher): Uid: 10154 Sys: (0 s) Us: (0 s) Starts: 0
mediaserver (1013): Uid: 1013 Sys: (0 s) Us: (0 s) Starts: 0
com.android.phone (Phone): Uid: 1001 Sys: (0 s) Us: (0 s) Starts: 0
sh (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
kworker/0:0 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
rild (Phone): Uid: 1001 Sys: (0 s) Us: (0 s) Starts: 0
kworker/0:2 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
kworker/u:0 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
kworker/u:3 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
dhd_dpc (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
irq/356-mxt224_ (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
auditd (1036): Uid: 1036 Sys: (0 s) Us: (0 s) Starts: 0
s3c-fb-vsync (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
com.android.vending (com.android.vending.Google Play Store): Uid: 10022 Sys: (0 s) Us: (0 s) Starts: 0
com.android.settings (Android System): Uid: 1000 Sys: (0 s) Us: (0 s) Starts: 0
wpa_supplicant (1010): Uid: 1010 Sys: (0 s) Us: (0 s) Starts: 0
ksoftirqd/0 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
/init (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
com.google.android.googlequicksearchbox:search (): Uid: -1 Sys: (0 s) Us: (0 s) Starts: 0
jbd2/mmcblk0p10 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
com.android.inputmethod.latin (com.android.inputmethod.latin.Android Keyboard (AOSP)): Uid: 10046 Sys: (0 s) Us: (0 s) Starts: 0
com.google.process.gapps (Google Services): Uid: 10018 Sys: (0 s) Us: (0 s) Starts: 0
net.nurik.roman.dashclock (net.nurik.roman.dashclock.DashClock Widget): Uid: 10158 Sys: (0 s) Us: (0 s) Starts: 0
netd (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
dhd_watchdog_th (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
irq/389-sec_tou (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
kauditd (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
com.whatsapp (com.whatsapp.WhatsApp): Uid: 10090 Sys: (0 s) Us: (0 s) Starts: 0
kworker/u:1 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
com.dropbox.android (com.dropbox.android.Dropbox): Uid: 10138 Sys: (0 s) Us: (0 s) Starts: 0
healthd (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
servicemanager (Android System): Uid: 1000 Sys: (0 s) Us: (0 s) Starts: 0
flush-179:0 (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
ueventd (0): Uid: 0 Sys: (0 s) Us: (0 s) Starts: 0
com.google.android.apps.uploader (com.google.android.apps.uploader.Picasa Uploader): Uid: 10072 Sys: (0 s) Us: (0 s) Starts: 0
com.cyanogenmod.account (com.cyanogenmod.account.CyanogenMod Account): Uid: 10029 Sys: (0 s) Us: (0 s) Starts: 3
======================
Alarms (requires root)
======================
======================
Network (requires root)
======================
10154 (Wifi) (com.anddoes.launcher.Apex Launcher): 8.0 KBytes 58.4%
10156 (Wifi) (com.asksven.betterbatterystats_xdaedition.BetterBatteryStats): 4.0 KBytes 26.5%
0 (Wifi) (0): 1.0 KBytes 9.8%
1000 (Wifi) (Android System): 567.0 Bytes 3.7%
10029 (Wifi) (com.cyanogenmod.account.CyanogenMod Account): 245.0 Bytes 1.6%
==========
CPU States
==========
1.2 GHz (): 16 s 14.2%
1 GHz (): 1 s 1.5%
800 MHz (): 8 s 7.2%
500 MHz (): 15 s 13.1%
200 MHz (): 1 m 14 s 64.0%
========
Services
========
Active since: The time when the service was first made active, either by someone starting or binding to it.
Last activity: The time when there was last activity in the service (either explicit requests to start it or clients binding to it)
See http://developer.android.com/reference/android/app/ActivityManager.RunningServiceInfo.html
com.android.bluetooth (com.android.bluetooth.hid.HidService)
Active since: 39 s
Last activity: 39 s
Crash count:0
cm.aptoide.pt (cm.aptoide.pt.services.ServiceManagerDownload)
Active since: 1 m 37 s
Last activity: 1 m 37 s
Crash count:0
com.android.vending (com.google.android.finsky.services.ContentSyncService)
Active since: 1 m 50 s
Last activity: 1 m 50 s
Crash count:0
com.google.process.location (com.google.android.backup.BackupTransportService)
Active since: 36 s
Last activity: 41 s
Crash count:0
com.android.phone (com.android.phone.BluetoothPhoneService)
Active since: 38 s
Last activity: 38 s
Crash count:0
com.whatsapp (com.whatsapp.ExternalMediaManager)
Active since: 47 s
Last activity: 58 s
Crash count:0
com.android.vending (com.google.android.finsky.services.DailyHygiene)
Active since: 1 m 33 s
Last activity: 1 m 33 s
Crash count:0
com.whatsapp (com.whatsapp.messaging.MessageService)
Active since: 47 s
Last activity: 1 m 22 s
Crash count:0
com.android.systemui (com.android.systemui.ImageWallpaper)
Active since: 37 s
Last activity: 37 s
Crash count:0
net.nurik.roman.dashclock (com.google.android.apps.dashclock.DashClockService)
Active since: 1 m 26 s
Last activity: 3 m 16 s
Crash count:0
com.bel.android.dspmanager (com.bel.android.dspmanager.service.HeadsetService)
Active since: 59 s
Last activity: 59 s
Crash count:0
com.android.inputmethod.latin (com.android.inputmethod.latin.LatinIME)
Active since: 37 s
Last activity: 60 s
Crash count:0
com.android.systemui (com.android.keyguard.KeyguardService)
Active since: 36 s
Last activity: 57 s
Crash count:0
com.google.android.music:main (com.google.android.music.preferences.MusicPreferenceService$MusicPreferenceServiceBinder)
Active since: 1 m 52 s
Last activity: 1 m 52 s
Crash count:0
com.google.process.gapps (com.google.android.gsf.loginservice.GoogleLoginService)
Active since: 49 s
Last activity: 1 m 53 s
Crash count:0
com.anddoes.notifier (com.anddoes.notifier.DashClockService1)
Active since: 1 m 26 s
Last activity: 1 m 26 s
Crash count:0
com.anddoes.notifier (com.anddoes.notifier.DashClockService2)
Active since: 1 m 26 s
Last activity: 1 m 26 s
Crash count:0
com.anddoes.notifier (com.anddoes.notifier.DashClockService3)
Active since: 1 m 26 s
Last activity: 1 m 26 s
Crash count:0
com.android.bluetooth (com.android.bluetooth.pbap.BluetoothPbapService)
Active since: 39 s
Last activity: 39 s
Crash count:0
com.syncme.syncmeapp (com.helpshift.HSRetryService)
Active since: 1 m 38 s
Last activity: 1 m 38 s
Crash count:0
com.android.bluetooth (com.android.bluetooth.a2dp.A2dpService)
Active since: 59 s
Last activity: 59 s
Crash count:0
com.google.android.googlequicksearchbox:search (com.google.android.search.core.service.SearchService)
Active since: 42 s
Last activity: 2 m 46 s
Crash count:0
com.anddoes.notifier (com.anddoes.notifier.NotificationListener)
Active since: 34 s
Last activity: 41 s
Crash count:0
com.android.systemui (com.android.systemui.SystemUIService)
Active since: 36 s
Last activity: 36 s
Crash count:0
system (android.hardware.location.GeofenceHardwareService)
Active since: 37 s
Last activity: 37 s
Crash count:0
net.nurik.roman.dashclock (com.google.android.apps.dashclock.weather.WeatherExtension)
Active since: 1 m 26 s
Last activity: 1 m 26 s
Crash count:0
com.google.android.music:main (com.google.android.music.net.NetworkMonitor)
Active since: 1 m 52 s
Last activity: 1 m 58 s
Crash count:0
com.android.bluetooth (com.android.bluetooth.hfp.HeadsetService)
Active since: 39 s
Last activity: 39 s
Crash count:0
com.android.smspush (com.android.smspush.WapPushManager)
Active since: 38 s
Last activity: 38 s
Crash count:0
system (com.android.internal.backup.LocalTransportService)
Active since: 36 s
Last activity: 36 s
Crash count:0
system (com.android.location.fused.FusedLocationService)
Active since: 37 s
Last activity: 37 s
Crash count:0
com.dropbox.android (com.dropbox.android.service.CameraUploadService)
Active since: 1 m 20 s
Last activity: 1 m 25 s
Crash count:0
com.android.bluetooth (com.android.bluetooth.map.BluetoothMapService)
Active since: 39 s
Last activity: 39 s
Crash count:0
com.android.phone (com.android.phone.TelephonyDebugService)
Active since: 38 s
Last activity: 38 s
Crash count:0
com.google.android.talk (com.google.android.videochat.VideoChatService)
Active since: 1 m 9 s
Last activity: 1 m 9 s
Crash count:0
com.android.bluetooth (com.android.bluetooth.pan.PanService)
Active since: 34 s
Last activity: 34 s
Crash count:0
==================
Reference overview
==================
ref_boot: Reference ref_boot created 1 m 26 s (Wl: 14 elements; KWl: 0elements; NetS: 8 elements; Alrm: 0 elements; Proc: 159 elements; Oth: 5 elements; CPU: 5 elements)
ref_unplugged: Reference ref_unplugged created 2 m 48 s (Wl: 16 elements; KWl: 13elements; NetS: 12 elements; Alrm: 7 elements; Proc: 161 elements; Oth: 5 elements; CPU: 5 elements)
ref_current: Reference ref_current created 4 m 44 s (Wl: 17 elements; KWl: 22elements; NetS: 13 elements; Alrm: 7 elements; Proc: 162 elements; Oth: 5 elements; CPU: 5 elements)